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Step-by-step explanation:

The slope-intersect form of the equation of a line is:

where m is the slope, and (0, b) is the y-intercept.

First, look at the y-intercept. The y-intercept is the point of intersection of the line and the y-axis. In this case, the point of intersection is (0, -2). That means that b = -2.

Now we find the slope. We see two points on the line, (0, -2) and (3, 1). Start at (0, -2). To go from point (0, -2) to point (3, 1), first you go 3 units up. That is a change in y of +3. Then you go 3 units right. That is a change in x of +3.

Now we can find the slope of this line.

Now that we know the slope, 1, and the y-intercept, -2, we use the first equation above to write the equation of the line in the slope-intercept form.

Step-by-step explanation:

f(x)=3x-8

g(x)=2x^2

f(g(5))=f(2×5^2)

=f(50)

=3×50-8

=150-8

=142