Question

12x+8y=28 in slope intercept form

Answer 1

Answer:

Step-by-step explanation:

y = − 3 /2 x  +  7/ 2

Answer 2

Step-by-step explanation:

The given expression is:

       12x + 8y = 28

Problem;

 Express in slope-intercept format;

   Solution:

The equation of a straight line is given as;

     y = mx + c

where y is the y-coordinate

          m is the slope

          x is the x-coordinate

          c is the intercept

 To solve this problem simply express the given equation as that of a straight line.

     12x + 8y = 28  in the form y = mx + c

      12x + 8y = 28  

   take 12x to the other side;

          8y  = 28 - 12x

divide by 8 to isolate the y;

           $\frac{8y}{8} = \frac{28}{8} - \frac{12x}{8}$

            y  = $\frac{7}{2} - \frac{3x}{2}$

Re-arranging gives;

           y = $\frac{-3x}{2} + \frac{7}{2}$

This is the slope-intercept form.