Write the equation of the line fully simplified slope-intercept form.

Work Shown:

Two points on the line are (0,-8) and (1, -5)

Use the slope formula

m = (y2-y1)/(x2-x1)

m = (-5-(-8))/(1-0)

m = (-5+8)/(1-0)

m = (3)/(1)

m = 3

The slope of the line is 3

The y intercept is b = -8 as this is the location on the vertical y axis where the diagonal line crosses it.

Plug m = 3 and b = -8 into y = mx+b to get y = 3x+(-8) which becomes y = 3x-8

c. (3,2,6) is the answer.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.