How do I rewrite these system of equations into slope intercept form

Question

Given the system of equations below, first rewrite each equation in slope-intercept form. Then graph the system of equations on a coordinate plane, labeling each line and the solution point. Upload your labeled graph as an attachment for grading.
Equation A: 2x + 5y = -negative5
Equation B: 3x -negative2y = -negative17

Answer 1

The equations are in Standard Form:

 

Ax + By = C

 

You want them in slope-intercept form:

 

y = mx + b

 

2x + 5y = -5

-2x           -2x   subtract 2x from both sides

 

       5y = -2x - 5

       5       5     5     divide all terms by 5

 

        y = -(2/5)x -1

 

Next:

 

3x - 2y = -17

-3x         -3x   subtract 3x on both sides

 

     -2y = -3x -17

     -2      -2    -2   Divide all terms by -2

 

      y = (3/2)x + (17/2)

 

To change from Standard Form to Slope-Intercept form, just solve 

the equation for y: get y by itself on one side of the equal sign

 

Do you need help with the Graphing?