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. Since we know that the y-intercept is equal to 2.5, we can write a partial version of the equation.
y= m x+ 2.5
Let's now substitute the given point, ( 4.5, - 4.25), in the equation above and solve for m.
A slope of - 1.5 means that for every 2 horizontal steps in the positive direction, we take 3 vertical steps in the negative direction. Now that we know the slope, we can complete the equation.
y= - 1.5x+ 2.5
