Let's recall the general form of a point-slope equation.
y- y_1= m(x- x_1)
Here, m is the slope and ( x_1, y_1) is a point on the line. We already calculated the slope m= - 13. We have also been given two points on the line. Since we only need one point to write the point-slope equation, let's use ( 3, 3).
y- 3= -1/3(x- 3)
Please note that any point on the line can be used to form a point-slope equation. Therefore, our equation is only one of infinitely many possible equations!
Slope-Intercept Form
Let's recall the general form of a slope-intercept equation.
y= mx+ b
Here, m represents the slope and b represents the y-intercept. We already calculated the slope m= - 13 above. The next step is substituting one of the points in the equation and then solving for the y-intercept b. Let's use the point ( 3, 3) one more time.
