Answer:
y = (-1/6)x + 3/2
Step-by-step explanation:
1. FIND SLOPE:
formula to find slope given 2 points
y2 - y1
x2 - x1
substitute the points we were given
2 - 0
-3 - 9
finally, simplify.
2 = -2 = -1 this is the slope
-12 12 6
2. FIND Y-INTERCEPT:
Lastly, we have to figure out the y-intercept.
To do this, plug in our slope and either one of the points to y = mx+b.
(2) = (-1/6)(-3) + b
now, just solve for b, the y-intercept.
(2) = (1/2) + b
b = 3/2
now plug in both the slope and y-intercept that we found. that's it.
slope-intercept form is y = mx + b, where m=slope and b=y-int.
y = (-1/6)x + 3/2
