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 $\boxed{y = -\frac{2}{3}x + 2}$ .

8 0

3 years ago

PLEASE HELP!

rusak2 [61]

A.) 0.35x + 42 ≤ 70

She wants the truck for one day, which will cost $45. We don't know how far the truck is traveling so that is the variable. She cannot spend more than $70, since that is her budget.

b.) Solve for x using the above equation:

0.35x + 42 ≤ 70
0.35x ≤ 28
x ≤ 80

Judy can drive 80 miles

4 0

2 years ago