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

Step 1:
Write the general equation of a line.
y = mx + c
m = slope
c = intercept on the y-axis
Step 2:
c = -8
[tex]\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}[/tex]y = x - 8
The equation of the line is: y = x - 8