Question

Write the equation of the line that passes through the points (−3,9) and (1,−6).

Answer 1

y=-3.75x-2.25

Explanation:

Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1

(-6)-(9)/(1)-(-3) = -15/4 = -3.75

Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b

9=-3.75*(-3)+b

9=11.25+b

b=9-11.25

b=-2.25

Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b

y=-3.75x-2.25

Step 4: Plug your X values into the formula, you should get your Y values after solving

y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)

y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)