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1. Find the x-intercept of 5x – 6y = 15*5 pointsx = 1x = 2x = 3x = 42.  Find the x-intercept of 15x – 16y = 115*5 points21/322/323/324/33. Find the y-intercept of 15x – 16y = 115*5 points-115/12-115/14-115/16-115/184. Find the y-intercept of 5x – 6y = 15*5 points-5/1-5/2-5/3-5/4

Question

  1. Find the x-intercept of 5x – 6y = 155 pointsx = 1x = 2x = 3x = 42.  Find the x-intercept of 15x – 16y = 1155 points21/322/323/324/33. Find the y-intercept of 15x – 16y = 1155 points-115/12-115/14-115/16-115/184. Find the y-intercept of 5x – 6y = 155 points-5/1-5/2-5/3-5/4
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Solution

  1. To find the x-intercept, set y = 0 and solve for x.

5x - 6(0) = 15 5x = 15 x = 15/5 x = 3

So, the x-intercept of 5x – 6y = 15 is x = 3.

  1. To find the x-intercept of 15x – 16y = 115, set y = 0 and solve for x.

15x - 16(0) = 115 15x = 115 x = 115/15 x = 23/3

So, the x-intercept of 15x – 16y = 115 is x = 23/3.

  1. To find the y-intercept, set x = 0 and solve for y.

15(0) - 16y = 115 -16y = 115 y = 115/-16 y = -115/16

So, the y-intercept of 15x – 16y = 115 is y = -115/16.

  1. To find the y-intercept of 5x – 6y = 15, set x = 0 and solve for y.

5(0) - 6y = 15 -6y = 15 y = 15/-6 y = -5/2

So, the y-intercept of 5x – 6y = 15 is y = -5/2.

This problem has been solved

Similar Questions

Which of the following points represents the x-intercepts of the quadratic equation y = x2 + 5x + 6?

Problem 1: Find the point-slope form of the equation of a line passing through the point (3,5) with a slope of 2.*5 pointsy-5 = 2(x-3)y-4 = 2(x-3)y-3 = 2(x-3)y-2 = 2(x-3)Problem 2: Determine the point-slope form of the equation of a line with a slope of −3 passing through the point (−1,4).*5 pointsy-4 = -3(x+1)y-4 = -3(x+2)y-4 = -3(x+3)y-4 = -3(x+4)Problem 3: Find the point-slope form of the equation of a line with a slope of 0.5 passing through the point (2,−3).*5 pointsy+3 = 0.5(x-2)y-3 = 0.5(x-2)y+3 = -0.5(x-2)y+3 = 0.5(x+2)Problem 4: Calculate the point-slope form of the equation of a line passing through the point (4,7) with a slope of −1.*5 pointsy-7 = -x+4y+7 = -x+4y-7 = x-4y+7 = -x-4

Find the x-intercept and y-intercept of the line.=+5x4y−20x-intercept: y-intercept:

Graph this line using intercepts:5x–3y=–15

Solve the simultaneous equations5x−y= −15,5x+3y= 5.

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