Find the x- and y- intercepts (a,b) of the line L: x - 2y = -4 O a = 2, b = 4 %3D O a = -4, b = -2 O a = -4, b = 2 O a = 4, b = 2

Q: Find the equation of the line that passes through the point (-1, 3) and is parallel to the line 5x –…

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Q: What is the relationship between the lines L1 and L2? where L7:x = 1+t , y = 3, z = 1- 3t L2:x = 4 –…

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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: If line I is parallel to line m, find the value of y. (9y+ 2), k (4x) (11r-8)° j

A: In the question it is asked to calculate the value of y for the given diagram below.

Q: Find the x-intercept of the line x+3y-5=0 as a point O a. (0,5) O b. (5,0) O c. None O d. (0,5/3)

A: x intercept can be obtained by putting y=0 in the given equation.

Q: Find the equation of a line that goes through the point (3, -5) and perpendicular to the line 4a +…

A: Here we need to find slope of given line g=for that need to convert given equation in slope…

Q: Find the y-intercept of the line by substituting 0 in for x and solving for y. -2x+3y=-6

A: Explanation and solutions is given below....

Q: Find the y-intercept of the line by substituting 0 in for y and solving for y x+2y=4

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Q: Find the image of B(3, 1) reflected in the line y=-2.

A: Step 1: Find foot of perpendicular of B on given line. Step 2: Use mid point formula.

Q: Find the value of h,if the slopes of the line represented by 6x2+2hxy+y2=0 are in the ratio 1:2

A: First, we will writethe equation for pair of straight lines passing through origin.(y−m1 x)×(y−m2…

Q: At what point do lines 2x+3y=16 and 3x+5y=26 intersect?

A: graph both the lines using table methodFirst equation is 2x+3y=16. Solve the equation for y and…

Q: substituting 0 in for y and solving for y 4x+6y=-48

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Q: Find the equation of line whose x - intercept is 2 and y - intercept is 3. O 3x + 2y = 6 O 2x + 3y -…

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Q: Find the y -intercept of the line by substituting 0 in for x and solving for y. -5x+3y=-60

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Q: For Exercise, find the slope of the secant line pictured in red (1, 6) y = f(x), (5, 2)A -3-2-! 4 $

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Q: Find the value of p for which the lines 2x+3y-7=0 and 4y-px-12=0 are perpendicular to each other

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Q: Which of the given lines is parallel to the line x + t,y = t, z = -7- 10t?

A: Two lines will be obtained as parallel when the respective coefficients of the parametric variables…

Q: Find the equation of line with slope - 6 and x - intercept at 4 Oy = -6x - 24 %3D Oy = 6x - 24 %3D…

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Q: Give the slope and the yy intercept of the line  −6x−8y= −1

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Q: If a line has an x-intercept at x=−5x=-5 and a y-intercept at y=1y=1, find its equation in the form…

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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: Consider the equation of a line. - 2y = 16 - What is the equation when solved for y?

A: consider the equation  of a line. x-2y=16 we have to find the equation when solved for y.

Q: In the form y=mx+b, find the equation of the line that contains (g,h) and is perpendicular to…

A: We have to choose correct option

Q: If a line has an x-intercept at x=7x=7 and a y-intercept at y=−1y=-1, find its equation in the form…

A:

Q: Show that if a, b≠0, then the line with x-intercept x = a and y-intercept y = b has equation…

A: Given: x-intercept=ay-intercept=ba, b≠0 To Find:  To show the equation of the given line isxa+yb=1

Q: Find the y intercept of the line: X+2y-1=0

A: Given line is x + 2y - 1 = 0

Q: Find the x-intercept of the line by substituting 0 in for y and solving for x Y=2x+

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Q: Find the x-intercept of the line by substituting 0 in for y and solving for x -4x -6y=36

A: For x intercept we put y=0 in given equation

Q: The line y = kr + 4, where k is a constant, is graphed in the xy-plane. If the line contains the…

A: Given line is: y = kx + 4 ................... (1) The line contains the point (c, d). Then (c, d)…

Q: Find the equation of the line that passes through the point (-1, 3) and is parallel to the line 5x –…

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Q: The slope of the line defined by y – 2 x = 5 is O A. 1/4 О в. -1/2 O C. -2 O D. 2

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Q: nd the distance between the two dissonant lines below х-1 y z+1 L1: 2 4 L2: = = z – 3 x-2 у-5 %3D 2…

A: Explanation and solutions is given below.....

Q: Show that the line with intercepts (a, 0) and (0, b) has the following equation. x/a + y/b = 1, a ≠…

A: The two points are given as , a,0 and 0,b. To find the line with intercepts on given points.…

Q: Find the equation of the line bisecting the acute angles formed between the lines x + 7y – 6 = 0 and…

A: The general equation of a straight line is y=mx+c, where m is the gradient, and y=c is the value…

Q: find the x-intercept of the line by substituting 0 in for y and solving for x.   y=3x-12

A:

Q: Find an equation of the line in form ax+by=c, with y intercept 9 and perpendicular to x+7y=17.

A: We need to find the equation for a line with y intercept 9 and perpendicular to another line, whose…

Q: 12. For the two non-parallel straight lines L:2x- 5y+ 21 = 0 and L: 3x+y+6 = 0, find the coordinates…

A: Consider the following: Line-1:  2x−5y+21=0Line-2:     3x+y+6=0 At intersection point: L1=L2…

Q: Find the x- and y- intercepts (a,b) of the line L: x- 2y = -4

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Q: Find the y intercept of the line by substituting 0 in for x and solving for y. Y=-2X+12

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Q: Identify the equation of the line graphed below. O x+ 2y = -2 O x-2y = 2 O 2x + y = -1 О 2х - у %3D1

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Q: Find the y-intercept of the line by substituting 0 in for x and solving for y -4x-2y=4

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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 point of intersection between the two lines: L:x 3t + 1, y = 2t - 1, z = t + 4 and L: 1 x-7…

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Q: The lines y = 5x − 3 and y = 2x + 9 intersect at P. What are the coordinates of P

A: P(4,17)

Q: Find the equation of the line that satisfies the given conditions below. Through (4,5); parallel to…

A: Given :- points (x,y)=(4,5) To find :- equation of line parallel to y-axis…

Q: Find the equation of the line perpendicular to -x - 4y = 6 and passes through the point whose…

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Q: Find an equation for the line perpendicular to y=-1/3x+6 with x intercept at x=4. Answer in y=mx+b…

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Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find the…

A: The solution for the above solution is as shown below.

Q: Find the equation of the line through (-1,2) and perpendicular to 2x+y=4. Answer in y=mx+b

A: To find the equation of the line

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.