54.0k views
16 votes
Rewrite the following equation in slope-intercept form.

–3y + 5 = –4x

User Peter Hart
by
3.6k points

2 Answers

7 votes

Answer: y= (4/3)x + 5/3

Explanation:

Write in Slope-Intercept Form

−3y + 5 = −4x

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Subtract 5 from both sides of the equation.

−3y = −4x − 5

Divide each term by −3 and simplify.

−3y/−3 = −4x/-3 + −5/-3

Cancel the common factor of −3 and divide y by 1

y= −4x/-3 + −5/−3

Dividing two negative values results in a positive value.

y= (4)x/3 + −5/-3

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

User Gregsonian
by
3.8k points
2 votes

Answer:

4x+3y=5

Explanation:

Subtract

4

x

from both sides of the equation.

3y = 5− 4x

Divide each term by 3 and simplify.

y= −4x 3+53

Rewrite in slope-intercept form.

y

=

4

3

x

+

5

3

User Antonio Cangiano
by
3.2k points