Write and graph an equation:
you put 11 gallons of gasoline (x) in your car. you know that this amount of gasoline will allow you to drive 319 miles (y).

y=29*x

Step-by-step explanation:

This problem is a linear function problem. We need at least two points to solve it. After finding two points we will compute the slope and then us the point-slope formula.

If you put 11 gallons of gasoline in your car it will allow you to drive 319 miles, this means that when x= 11 then, y=319. So the first point is (11,319). For the second point you now that if you have no gallons of gasoline then you won't be able to drive so, the second point is (0,0).

Now that we have to points we are able to compute the slope. The formula for the slope is:

.

this way

.

.

Now that we have the slope, we can use the point-slope formula to get the equation. The point-slope formula is:

(here it doesn't matter which point you use, you will get the same result).

Substituting the point (11,319) and the slope:

And we finaly get the equation!

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?