Question

5x-9=-8y-3 find the x and y intercepts

Answer 1

x- intercept =
`(6)/(5)` , y- intercept = -
`(3)/(4)`

Explanation:

the x- intercept is the point on the x- axis where the line crosses it.

the y- coordinate of any point on the x- axis is zero

substitute y = 0 into the equation and solve for x

5x - 9 = 8y - 3

5x - 9 = 8(0) - 3

5x - 9 = 0 - 3

5x - 9 = 3 ( add 9 to both sides )

5x = 6 ( divide both sides by 5 )

x =
`(6)/(5)` ← x- intercept

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the y- intercept is the point on the y- axis where the line crosses it.

the x- coordinate of any point on the y- axis is zero.

substitute x = 0 into the equation and solve for y

5x - 9 = 8y - 3

5(0) - 9 = 8y - 3

0 - 9 = 8y - 3

- 9 = 8y - 3 ( add 3 to both sides )

- 6 = 8y ( divide both sides by 8 )

`(-6)/(8)` = y , that is

y = -
`(3)/(4)` ← y- intercept