Answer:
y = 3x - 6
Step-by-step explanation:
Slope-interecept form is a "fill-in-the-blank" formula for writing the equation of a line. It is in the form:
y = mx + b
You fill in the slope for m and fill in the y-intercept for b.
You could totally graph these points and see the slope and y-intercept. But here's how to find them on the table.
When x is 0, y is -6. The y-intercept is where x is 0. So here, the y-intercept is -6. That is b. Fill in -6 in place of b.
y = mx + -6
Next pick any two points. I'm using the last two (3,3) and (4,6). Subtract the y's. 6-3 is 3, put that on top of a fraction. Subtract the x's, 4-3 is 1. Put that on the bottom of a fraction. That is the slope, 3/1. That is the m. Fill it in.
y = 3/1 x + -6
Clean it up (simplify)
y = 3x - 6
