Question

What is the y-intercept of 5x+4y=−40 ?

A.(8,−10)
B.(0,−10)
C.(0,8)
D.(−10,0)

Answer 1

B

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 4y = - 40 ( subtract 5x from both sides )

4y = - 5x - 40 ( divide all terms by 4 )

y = -
`(5)/(4)` x - 10 ← in slope- intercept form

with y- intercept c = - 10 ⇒ (0, - 10 ) → B

Answer 2

Explanation:

To find the y intercept of the line we must first write the equation in standard form which is

y = mx + c

where

m is the slope

c is the y intercept

So we have

5x + 4y = - 40

4y = -5x - 40

Divide both sides by 4

We have the equation as

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

From the question the y intercept is - 10

We have the final answer as

( 0 , - 10)

Hope this helps you