The slope of a line is -13 and the y-intercept is 103. What is the equation of the line written in general form?

Answer 1

oops it's -1/3 and 10/3

I'm going to assume by general form you mean y = mx + b where m is the slope and b is the intercept. That means the answer would be y = -1/3x + 10/3.

For a more in depth look as to why this works like it does, we'll examine the -1/3 and 10/3 values. We'll look at this equation in two parts to understand what's going on. First, we'll take a look at the slope of the line. -1/3 slope indicates that you have move over 3 spaces for every x value to move down 1 space for the y. Another way to look at it is -3y = x.

Now that we have y = -1/3 x, we'll take a look at the y-intercept which is a little easier to understand. They y intercept is where the line meets the x axis or where x = 0. If you make x equal to 0 in the formula I gave, you'll see that -1/3 * 0 + 10/3 equals 10/3 which is what we want.