Write an equation in slope intercept form for a line that passes through the origin with a slope of 3/2

y = (3/2)x

m = 3/2 is the slope

(x1,y1) = (0,0) is the point we want the line to go through, aka the origin

Use point slope form, plug in the given values, and convert to slope intercept form

y - y1 = m(x - x1) point slope form

y - 0 = (3/2)*(x - 0) substitution

y = (3/2)x final answer in slope intercept form

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: