Question

Determine the intercepts of the line.

Do not round your answers,
y = 5x - 13
y-intercept:
x-intercept:

Answer 1

y- intercept = - 13 , x- intercept =
`(13)/(5)`

Explanation:

To find the y- intercept, substitute x = 0 into the equation and solve for y

y = 5(0) - 13 = 0 - 13 = - 13 ← y- intercept

To find the x- intercept substitute y = 0 into the equation and solve for x

0 = 5x - 13 ( add 13 to both sides )

13 = 5x ( divide both sides by 5 )

`(13)/(5)` = x

x- intercept =
`(13)/(5)` = 2
`(3)/(5)` = 2.6

Answer 2

y- intercept = - 13 , x- intercept =

Explanation:

To find the y- intercept, substitute x = 0 into the equation and solve for y

y = 5(0) - 13 = 0 - 13 = - 13 ← y- intercept

To find the x- intercept substitute y = 0 into the equation and solve for x

0 = 5x - 13 ( add 13 to both sides )

13 = 5x ( divide both sides by 5 )

= x

x- intercept = = 2 = 2.6