Question

Rewrite the following equation in slope-intercept form. –3y + 5 = –4x

Answer 1

Answer:

4x+3y=5

Step-by-step 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

Answer 2

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

Step-by-step 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