Question

Find the intercepts made by the line on the axes which pass through the point (5,-2) and has slope 5/2 answer is x-intercept=29/5 ,y-intercept =-29/5

Answer 1

Answer:

x-intercept = (29/5 , 0)  

y-intercept = (0, -29/2)

Step-by-step explanation:

Slope = 5/2

Point = (5, -2)

The general linear equation is as follow:

y = mx + c

Find the y-intercept:

-2 = (5/2)(5) + c

-2 = 25/2 + c

c = -2 - 25/2

c = -29/2

Form the equation:

y = mx + c

y = 5/2 x - 29/2

2y = 5x - 29

Find the x-intercept:

2y = 5x - 29

when y = 0

5x - 29 = 0

5x = 29

x = 29/5

Answer: x-intercept = (29/5 , 0) and y-intercept = (0, -29/2)

Answer 2

Step-by-step explanation:

x-intercept = 29/5

y-intercept = -29/2