Question

Graph the line that passes through the points (0, -8)(0,−8) and (-1, -9)(−1,−9) and determine the equation of the line.

Answer 1

Step 1:

Write the general equation of a line.

y = mx + c

m = slope

c = intercept on the y-axis

Step 2:

c = -8

$\begin{gathered} \text{Slope m = }\frac{y_2-y_1}{x_2-x_1} \\ x_1\text{ = 0} \\ y_1\text{ = -8} \\ x_2\text{ = -1} \\ y_2\text{ = -9} \\ m\text{ = }\frac{-9\text{ + 8}}{-1\text{ - 0}} \\ m\text{ = 1} \end{gathered}$

y = x - 8

The equation of the line is: y = x - 8