27.7k views
5 votes
Whats the y-intercept of 5x-3y=4

2 Answers

5 votes

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!

User Kyle Davis
by
7.7k points
5 votes

Answer:

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)

User LWZ
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories