Jim fills his gas container whenever it gets down to full in order to have enough gas for his next mowing job. If the gas container is in the shape of a cylinder, approximately how
much gas is left in the gas container when it is time to refill it?
18 in
311
Radius = 5 in
O 1,413 inches cubed
O 353 inches cubed
O 283 inches cubed
O 71 inches cubed

x + y = 2

Step-by-step explanation:

First we need to find the equation of the line that Street 1 forms. Using your information about the coordinate grid, Street 1 would be a line that touches both (-5, 6) and (3, -2). You can draw a line connecting both of those points on a graph if you wish.

To find the equation of the line in standard form of Street 2, we need to have the slope of Street 1 since we are already given a point that Street 2 crosses.

Finding the slope of Street 1 will just require the slope formula:

Plug the correct points into this formula.

The slope of Street 1 is -1.

Since Street 2 will be parallel to Street 1, they must have the same slope. So far we have the slope and a point that Street 2 passes, so we can use the point-slope form formula because we have what's in its name (a point and a slope).

point-slope formula:

Plug the appropriate numbers into this formula.

Simplify this equation by removing the parentheses.

Distribute -1 inside the parentheses.

The question wants the answer in standard form (ax + by = c). Make the x term in the front, then the y term after that, and these will be equal to c, the constant (no variable).

To get x to the left side, add x to both sides of the equation.

Add 4 to both sides of the equation.

This is the final answer in standard form, and it fits with the last answer choice.