Question

Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation. 3x+4y–12=0. The slope − intercept form is ____. The slope is __________. The y − intercept is ( , ).

Answer 1

Answer: The slope intercept form is  y = -3/4x + 3  .  The slope is -3/4. The y-intercept is (0,3)

Step-by-step explanation:

3x + 4y - 12 = 0    To convert the equation into slope intercept form it will have the formual y=mx + b  

In this case we will solve for y .

3x + 4y - 12 = 0       Add 12 to both sides

            +12     +12

3x + 4y  = 12        Subtract 3x from both sides

-3x           -3x

  4y = -3x + 12       Now divide both sides by 4

  y = -3/4x + 3  

The slope is the acting coefficient of the variale  x.

So the slope is -3/4   and the y intercept is 3 or  (0,3)