Answer:
Step-by-step explanation:
<u>The volume of the rectangular prism is:</u>
- V = lwh
- V = 5/9*1/5*4/7 = 36/7 ft³ or 5 1/7 ft³
Let's first find the slope. This is (y_2 - y_1)/(x_2 - x_1), where (x_1, y_1) and (x_2, y_2) are points.
For this problem, our slope is (0 - 2)/(3 - 0) = -2/3.
We can now use the point-slope formula to find the equation of our line:
(y - y_1) = m(x - x_1)
(y - 2) = -2/3(x - 0)
y - 2 = (-2/3)x
y = (-2/3)x + 2
The equation of our line is
.
(3, - 2)
given y = - 2, then
- 2x + 4 = - 2 ( solve for x )
subtract 4 from both sides
- 2x = - 6 ( divide both sides by - 2 )
x = = 3