Consider the equation C space equals space 0.01 m space plus space 35, where C is the cost in dollars of a cell phone plan for month and m is the number of minutes used in one month. Explain the meaning of the slope and of the y-intercept in this equation.

Q: For the line 5x = 10y what is the slope?

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Q: Given the slope and the y- intercept of the line: y+ 5x = −8y

A: Given: Given the slope and the y- intercept of the line: y+ 5x = −8y

Q: find the equation of the line whose y-intercept is 7 and whose slope is 4/3 a. 4x-3y+21=0 b.…

A: To determine the equation of the line with given conditions.

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: Write the equation of a line parrallel to y=1/2+17 that passes through the points (-4,-9)

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Q: What is the y-intercept (b) of the line listed below? 1 ソ=ーx+4 2 O b = 8 O b = 2 O b = 4

A: To find the y-intercept of the given line.

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: What is the slope m and y-intercept of its graph? 1. x + 1/3y = 1/3 2. -4x + 3y = -6

A: Solution; The objective is to find the slope and y-intercept of the given equations

Q: What is the y-intercept of the line whose equation is 3y = 6x + 12? %3D 1. 1 2. 2 3 4. 4 3.

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Q: Which are the variables and which are the constants in the slope-intercept equation y = mx + b?

A: y=mx+b

Q: Determine the y-intercept of the following equation. (x + 4)(x + 2) = y O (-4, 0) and (-2,0) O (4,…

A: Given equation, (x+4)(x+2) = y

Q: For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. C(h) = 3 + 5h What does the…

A: We can answer both the questions as below

Q: Draw the graph of 4x equation to Slope-Intercept Form. 3y = 9 by first changing the

A: Consider the given equation of the line, 4x-3y=9 here the objective is to change the given equation…

Q: Find an equation for the line perpendicular to the line 8x−6y=-2 having the same y-intercept as…

A: Find the equation of line perpendicular to line 1:and y-intercept is same as line 2.

Q: The slope of the curve y 5 - 3x^2 at (-1, 2) is A. 5 B. 2/3 C. 6 D. -3

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Q: Consider the equation of the line y=−11x+−8 The y−intercept of the line is

A: The standard equation of line in slope intercept form is y=mx+c where m is slope and c is the…

Q: Create the equation of a line that is perpendicular to 3x + 2y = 10 and passes through (-4, 3). For…

A: We have the equation of line 3x+2y=10. Now,           3x+2y=10⇒2y=10-3x⇒y=10-3x2⇒y=5-32x Slope =…

Q: What is the equation of the line that cuts the y-axis at g and is parallel to y= 5x + 2 ? O y=-8x+2…

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Q: Consider the line 3x – 2y = 7. What are the coordinates of the y-intercept for this line?

A: Consider the given equation of the line. 3x - 2y =7 At y intercept, x coordinate is zero.

Q: Suppose you're climbing a hill whose shape is given by the equation z = 1000 – 0.003x² – 0.005y?,…

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Q: What is the y-intercept of the graph of the line y = f(x)?

A: Given line is y=f(x).

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: the y-intercept of the line y=3x+5 is the point (5.0) true or false

A: y- intercept of a line

Q: Given the equation y +1=3(+1). write in slope-intercept form. Upload a picture of your work and…

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Q: if the equation of a line is 5x-2y=10 then the y intercept is

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Q: Find an equation of a line in standard for that has a y intercept of 2 and is parallel to the line…

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Q: Graph the following features: Slope = - Y-intercept = 2 %3D 4 %3D 3.

A: Given,         Slope=-34 and y-intercept=2We know that,          The equation of the line using the…

Q: Find an equation for the line perpendicular to the line 8x−6y=−28x−6y=−2 having the same y-intercept…

A: Given equation of line 8x-6y=-2 .....(1) Another equation of line is -6x+2y=4 .....(2) Now we will…

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: Use your answers to write an equation for the linear model, y = mx + b, that describes the graph.…

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Q: Consider the following equation of a line: -2x+10y=-13 What is the slope? What is the y-intercept?

A: Consider the following equation of a line: -2x+10y=-13To determine the slope of the line.To…

Q: The line y = 5x + 4 has a y intercept of _________

A: The line y = 5x + 4 has a y intercept of _________

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

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Q: The weight, in pounds, of a newborn baby t months after birth can be modeled by the equation…

A: W=11+2t We need to tell What is the y-intercept of the equation and what is its interpretation in…

Q: Find the equation of a line that passes through (-1,-3) and is perpendicular to y=-4x+2

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Q: Suppose a mining company will supply 105000 tons of ore per month if the price is 70 dollars per ton…

A: Here we have to find the linear function relating supply and price per ton. Supply will be taken on…

Q: The manager of a furniture factory finds that it costs $2200to manufacture 100 chairs in one day and…

A: Given: furniture factory costs= $2200 to manufacture 100 chairs in one day and to produce 300…

Q: Find the equation of the line perpendicular to 2x+3y=1 and whose distance from the origin is 7.

A: Given equation of line is  2x+3y=1 The distance of the line perpendicular to 2x+3y=1 from origin is…

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: 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: Determine the y-intercept of the following equation. (-x – 4)(x + 5) = y (0, –20) (0, –4) and (0,…

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Q: For the line x + 4y =2, what is the Y- intercept?

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Q: Find the general equation of a line which is perpendicular to the line x + 2y = 7 and having a…

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Q: Give the equation of the line perpendicular to Y=-4x+2 that has an x-intercept of -1

A: First find slope of perpendicular line then use equation of line

Q: Find the equation of the line perpendicular to 2x + 3y = 1 and whose distance from the origin is 7.

A: we have to find the equation of the line perpendicular to the line 2x+3y=1 and whose distance from…

Q: Find the equation of the line that is perpendicular to y = 6x – 2 and %3D

A: To find the equation of line perpendicular to given line.

Q: Find an equation of the line that (a) has the same y-intercept as the line y−1x+3=0 and (b) is…

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Q: What is the slope of the line in the xy-plane that passes through the points and A) -1 B) 3 C) 1 3…

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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.