Find the slope M, the y-intercept, and the X-intercept of the equation 6y – 3X = -6, and use that information to graph the equation. Be sure to list the intercepts as ordered pairs, and enter exact answers only (no approximations). Also, plot only ordered pairs that have integer coordinates.

Q: Find the equation and sketch the graph of the following line. Vertical and 4 units to the right of…

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Q: Find the point on the line y = 2x + 3 that is closest to the origin.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find an equation of the line that satisfies the given conditions. y-intercept 1; parallel to the…

A: When two line are parallel to each other,then their slopes must be equal.

Q: Find the slope and y-intercept of the line, and draw its graph. 3x - 4y = 12

A: Solution: Consider the given equation is: 3x -4y = 12-4y = -3x + 124y = 3x - 12y = 3x-124y = 34x -…

Q: A- If y1 =-x and y2 =x+3 , Find the following: - 1- Slope and intercept for each equation? 2- Graph…

A: Since the slope intercept is  y = mx + c Where m is slope and c is intercept

Q: Find the slope and y-intercept (if possible) of the equation of the line. (If an answer does not…

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Q: Find the slope of the curve y = 2+ 3x? – 4x³ at the point where x = a.

A: slope of curve at x= a is f'(a)

Q: Find the equation of the line that (a) has y- intercept of 3 and (b) is parallel to the like…

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Q: Find an equation of the line that satisfies the given conditions.  Y-intercept = 7; parallel to the…

A: We first find the slope of the given line.5x+6y+8=0Comparing with y=mx+b we get m= -5/6

Q: Find the slope and y-intercept of the following equation. 3x-2y 6

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Q: find the slope of the curve at the point indicated y = 5x - 3x2, x = 1

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Q: Find the slopes and y-intercepts x = 2y - 3

A: the given equation of the line is: x = 2y - 3 can be rewritten as y=12x+32 we have to find the…

Q: Find the equation and sketch the graph of the following line. The y-axis.

A: To find the equation and sketch the graph of the following line. the y-axis. Solution: The equation…

Q: Find the point on the line  y = 4x + 3  that is closest to the origin

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Q: Find the equation of the line containing the point  P(3, 2)  and parallel to the graph of  5x + y…

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Q: Find the equation of the line containing the point P(2, 5) and parallel to the graph of 5x + y =…

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Q: find the coordinates of two points on the given line, and then use those coordinates to find the…

A: Given: 2x+3y=6 To find two coordinates and slope

Q: Find the point on the line y = 3x + 4 that is closest to the origin.

A: Given, the line equation

Q: Give the slope and y-intercept of the line whose equation is 2x + 3y + 6 = 0. Then graph the line.

A: 2x+3y+6=0To find: slope and y intercept

Q: Containing the points (-3,4) and (2,5)

A: The points are (-3, 4) and (2,5). The equation of line in slope-intercept form is given as…

Q: Find the slope and y-intercept of the line, and draw its graph. 2x - 5y = 0

A: Given- 2x-5y=0 To find-  The slope and y-intercept of the line, and draw its graph. Identity Used-…

Q: Find the equation and sketch the graph of the following line. Perpendicular to 3x + 4y = 5, passing…

A: The equation of a line in the slope-intercept form is y=mx+c. In this form, the slope is m and the…

Q: Find the slope and y-intercept of the line, and draw its graph. 4x + 5y = 10

A: Given, 4x+5y=10

Q: Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if…

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Q: Find the slope of the line and sketch its graph. 3x + 5y = 19 10 -10 -5 10 X -10

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Q: Find the slope and y-intercept (if possible) of the line. 8x - 7y = 35 %3!

A: Slope-intercept form of the equation of a straight line : y=mx+b where m is the slope of the line…

Q: find the slope of the curve at the point indicated y = x3 - 2x + 7, x = -2

A: Slope of the curve is determined by taking the derivative of the given function:   The given…

Q: Find the point on the line y = 5x + 3 that is closest to the origin.

A: *to find:- shortest distance point coordiantes from origin.

Q: find an equation of the graph that passes through the point and has the given slope (0,4) y'=x/6y

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Q: Give the slope and the y-intercept for the line whose equation is 8r – 4y = 20.

A: Our Aim is to find the slope amd the y-intercept for the linewhose equation is 8x-4y=20-(i)

Q: Find the point when the line y=-3x+8 that is closest to the origin.

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Q: To graph the equation y = -3x + 4 using slope-intercept method, you should first plot a point on (0,…

A: Given query is to find that statement is true or false.

Q: Find the slope and y-intercept of the line, and draw its graph. y = -2

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Q: Find an equation for the collection of points for which the distance to (12, 0) is twice the…

A: Refer to the question we need to find an equation for the collection of points for which the…

Q: Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if…

A: We write 8x+5y=43 in y=mx+b form then find the slope of it So slope = -8/5

Q: Find the equation of the line which contains P(1,5) and which is perpendicular to the x axis

A: Given, the equation of line contains the point (1,5) and is perpendicualar to x-axis.

Q: find the coordinates of two points on the given line, and then use those coordinates to find the…

A: Given: The equation of line y-6x=0 To find: The slope of line using two points.

Q: Find the slope of the line and sketch the graph. 5) 4x +5y = 22

A: 5) Given: The equation of a line is 4x+5y=22 . The given equation of the line can be expressed in…

Q: Find the slope and y-intercept of the line 8x ! 5y " 20. Graph the line.

A: Equation of a line in slope intercept form is  y=mx+b where m represents the slope            b is…

Q: find the coordinates of two points on the given line, and then use those coordinates to find the…

A: y=-5xAt x=1, y=-5×1=-5At x=2, y=-5×2=-10Now, the equation of the line is y2-y1=m(x2-x1)Here,…

Q: Which of the following is the equation of a line that is perpendicular to the graph of y = 25x − 1?

A: Given ,   y = 25x - 1 We have to find the equation of line that is perpendicular to the graph of y =…

Q: The line shown above has an y-intercept of T

A: From the graph we can see that the line intersect the y-axis at y = 1

Q: Find the equation of the line that contains the point P(3, 3) and is parallel to the graph of 5x + y…

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Q: Use the slope-intercept form to find the slope and y-intercept of the given line, and sketch its…

A: Given equation is:2x=15-3y We know, equation of a line in slope-intercept is given by: y=mx+c…

Q: Find the equation of the line that contains the point P(−4, −3) and is perpendicular to the graph of…

A: To determine the equation of the straight line satisfying the given properties

Q: Find the point on the line y= 7x + 2 that is closest to the origin.

A: Given,           The line y=7x+2 that is closest to the origin.

Q: Find the equation of the line that contains the point P(−2, 0) and is perpendicular to the graph of…

A: Given,           The required equation of the line is perpendicular to the line

Q: Find the point on the y-axis that is equidistant from the points A(-4,-2) and B(3,1).

A: Given points (-4,-2) & (3,1)Point on y-axis means x-coordinate is zero i.e.,point is (0,y)

Q: Find the slope and the y-intercept (if possible) of the line . 6x − 5y = 15

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.