What is the slope-intercept form for each equation in this system? compare the slopes and y-intercepts to describe the graph of the system. 3x - 4y = 28 4x + 10y = 20 a) y = 3 4 x − 7; y = −2 5 x + 2; one line b) y = - 3 4 x − 7; y = −2 5 x + 2; parallel lines eliminate c) y = 3 4 x − 7; y = 2 5 x + 2; intersecting lines d) y = 3 4 x − 7; y = −2 5 x + 2; intersecting lines

The slope - intercept form of the equations are : and

Given the standard form of the equations :

The General form of a slope - intercept equation :

For equation (1) :

3x - 4y = 28

Make y the subject

-4y = 28 - 3x

Divide both sides by - 4 to isolate y

y = -7 + 3/4x

For equation (2) :

4x + 10y = 20

Make y the subject

10y = 20 - 4x

Divide through by 10 to isolate y

y = 2 - 2/5x

Hence, the slope - intercept equations are : and

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