Question

What’s the answer to this

Answer 1

see explanation

Explanation:

to find the y- intercept, the point where the line crosses the y- axis.

Any point on the y- axis has an x- coordinate of zero.

let x = 0 in the equation and solve for y

- 4(0) + 7 = 2y - 3

0 + 7 = 2y - 3

7 = 2y - 3 ( add 3 to both sides )

10 = 2y ( divide both sides by 2 )

5 = y

then y- intercept = (0, 5 )

to find the x- intercept, the point where the line crosses the x- axis.

Any point on the x- axis has a y- coordinate of zero.

let y = 0 in the equation and solve for x

- 4x + 7 = 2(0) - 3

- 4x + 7 = 0 - 3

- 4x + 7 = - 3 ( subtract 7 from both sides )

- 4x = - 10 ( divide both sides by - 4 )

x =
`(-10)/(-4)` =
`(10)/(4)` =
`(5)/(2)`

then x- intercept = (
`(5)/(2)`, 0 ) or (2.5, 0 )