Question

C) For the equations,-4x + 3y = 12.

Determine the slope
i.
ii.
iii.
Write the equations in slope and y-intercept form.
Sketch the graph.

Answer 1

The slope is 4/3.

The equation in the slope intercept form is y = 4/3 x + 4

Explanation:

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

4x - 4x + 3y = 4x + 12

3y = 4x + 12 Divide all the way through by 3

3y/3 = 4x/3 + 12/3

y = 4/3 x + 4

The slope is the number before the x 4/3

You can see in the graph that the line crosses the y axis at 4. If you start at the point (-3,0) and go up 4 units and right 3 units, you will be at the point (0,4). The slope is the pattern of up 4 and right 3.