A line passes through the points (5, –7.5) and has a y-intercept 10. Which is a linear function in the form of y = mx + b for this line?

y= -3.5x +10

Step-by-step explanation:

The first thing to do in this equation is solve for m, the slope of the line.

Because we are given that the y-intercept is 10, we know that the graph intercepts at the point (0,10).

We are also given the point (5,-7.5).

Using the two points we can solve for the slope!

To solve for the slope use this formula:

(-7.5 -10) / (5 -0)

= -3.5

So our slope, m = -3.5

The other missing value is b, but is very easy to find.

In this example, b is equal to the y-intercept, so b=10.

Now we can plug in the values we found into the original equation

y =mx+b

y= -3.5x +10

yes

yes yes yes

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you