Question

Whats the y-intercept of 5x-3y=4

Answer 1

Method 1: Plunging in 0 for x in the equation and solve for y

5(0) - 3y = 4

0 - 3y = 4

-3y= 4

y =
`(-4)/(3)` <<< y - intercept

Method 2: Converting the equation to slope-intercept form ( y = mx + b) and see what b is (that is the y-intercept). Do do this isolate y

-3y = 4 - 5x

y =
`(-4)/(3) +(5)/(3) x`

`y = (5)/(3) x- (4)/(3)`

b =
`(-4)/(3)` <<< y - intercept

Y- intercept : (0,
`(-4)/(3)`)

Hope this helped!

Answer 2

y = -
`(4)/(3)`

Explanation:

The equation of a line in slope- intercept form is

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

Rearrange 5x - 3y = 4 into this form

Subtract 5x from both sides

- 3y = - 5x + 4 ( divide all terms by - 3 )

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

with y- intercept c = -
`(4)/(3)`