Question

What is the graph for these systems of equations?

4x + y = 5
3x – 7y = 27

Answer 1

Set up as y=mx+b

Answer 2

Solve each of the equations for y
4x + y = 5
(subtract 4x from each side)
y = -4x + 5
So the slope is -4/1 and the y-intercept is 5
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3x – 7y = 27
(subtract 3x from each side)
-7y = -3x + 27
(divide each side by -7)
y = 3/7x + (-27/7)
So the slope is 3/7 and the y- intercept is -27/7

So now when you graph it, you find the y point (5) and apply the slope to it.


do you understand so far?