It says that the number of gallons left equals the total number held by the gas tank (15 gallons) minus a strange expression, m/32 The equation gives GALLONS left in her car. From the slope, we can see that every minute or change in x by 1, the car is traveling 2 miles or changing y by 2 miles. Slope is then calculated as 10miles / 5 minutes or 2 miles/minutes. On that interval, the change in y is (20 miles - 10 miles) and change in x is (15 min - 10 min). Slope is change in y divided by change in x. For example, if a car is at 10 miles from a house in 10 min and at 20 miles from a house at 15 min, then our interval of x values is 10 min - 15 min. We would divide that difference by the difference between the interval of x values we used. Assuming the graph is a straight line, if we want to find the slope we would find the difference between 2 y values on an interval of x values. We know that distance is dependent because time determines how much distance something will travel. Let's say that we have a graph of distance (y) and time (x). This simply means that if you have one variable that is dependent (y) on an independent variable (x), then the slope is given as change in y divided by change in x. Slope in math is defined as the rate of change of the y variable as x changes. Ok, I super hoped this helped and made it a little easier to understand! And I hope I wasn't too late! 9/14 is obviously less than 1 and we want something greater than 1 (3.111111111), so we're left with 28/9, which is obviously greater than 1 and if you actually work it out on a calculator you get 3.1111111111111.

The first two are negative so we don't want those. Now which of these choices represents that? We don't even have to work them out on our calculator. Ok, well let's use that same standard to get from 14 to a (for the y coefficients). To get from 9 to 2 in the first equation (for the x coefficients) we divided by 4.5, right?

Let's make the first equation the same as the second equation. Ok, so we know that the coefficients of x and y have to be the same. Because if a, b, and c were the same, you'd have the same line, which would give you infinitely many solutions. If you have two parallel lines (no solutions) than in the ax + by = c form, a and b are going to be the same, but c has to be different. So just to start, don't waste your time converting the equations to slope intercept form! That's a huge waste of time!

Slope intercept form graph calculator