Answer:
Explained
Step-by-step explanation:
The 1 is the y-intercept
The -2 is the slope
First place a point at (0,1)
Then, because it's negative from left to right the graph is decreasing (going lower on the y-axis the farther you go on the x-axis).
Slope is rise over run so the -2 affects how far it goes. So for each value of x that increases by one, a new point will be two units down and one unit right of the previous point. To graph to the left of the y-intercept then you do that backwards where the next point is two units up and one unit left.
Then just draw a straight line connecting all the points.
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-1 is less than 0, so you use the first equation:
3(-1) +2 = -3+2 = -1
f(-1) = -1
For 0 use the 2nd equation:
3(0) + 4 = 0+4 = 4
f(0) = 4
For 2 use the 2nd equation:
3(2) + 4 = 6+4 = 10
f(2) = 10
(6-8)/(1+2)= -2/3 the answer to the question
