An equation in slope-intercept form follows a specific format.
y= mx+b
For an equation in this form, m is the slope and b is the y-intercept.
Let's use the given points to calculate m. We will start by substituting the points into the Slope Formula.
m = y_2-y_1/x_2-x_1
Note that it does not matter which point we choose to use for ( x_1, y_1) and ( x_2, y_2), since the result of using the Slope Formula will be the same.
A slope of - 13 means that for every 3 horizontal step in the positive direction, we take 1 vertical steps in the negative direction. Now that we know the slope, we can write a partial version of the equation.
y= -1/3 x+b
To complete the equation, we also need to determine the y-intercept, b. Since we know that the given points will satisfy the equation, we can substitute one of them into the equation to solve for b. Let's use ( - 2, 3).
