Lines written in slope-intercept form follow a certain format.
y= mx+ b
In this form, m is the slope and b is the y-intercept. Let's use the given points to calculate m and b. We will start by substituting the points into the Slope Formula.
A slope of -3 means that for every 1 horizontal step in the positive direction, we take 3 vertical steps in the negative direction. Now that we know the slope, we can write a partial version of the equation.
y= 3x+ b
To complete the equation, we also need to determine the y-intercept, b. Since one of the given points is (0, 6), we already know that the y-intercept is 6. Now, we can complete the equation.
y= -3x+ 6
