Question

Find the points at which the graph of the equation -4y=15-5x crossed the x- axis and the y - axis.

Answer 1

see explanation

Explanation:

Where the graph crosses the x- axis the y- coordinate is zero.

Let y = 0 in the equation and solve for x

- 4(0) = 15 - 5x, that is

15 - 5x = 0 ( subtract 15 from both sides )

- 5x = - 15 ( divide both sides by - 5 )

x = 3 ← x- intercept ⇒ (3, 0 )

Where the graph crosses the y- axis the x- coordinate is zero.

Let x = 0 in the equation and solve for y

- 4y = 15 - 5(0), that is

- 4y = 15 ( divide both sides by - 4 )

y = -
`(15)/(4)` ← y- intercept ⇒ (0, -
`(15)/(4)`)