Question

What is the slope and y-intercept for the following equation of a line: y = -25?

Answer 1

First, notice that the line crosses the y-axis at the point (0,7), then, the y-intercept is b = 7.

Then, we have that the line passes through the points (0,7) and (-3,1). So, we can find the slope using the following equation:

$m=\frac{y_2-y_1}{x_2-x_1}$

in this case, we have the following:

$\begin{gathered} m=\frac{1-7}{-3-0}=\frac{-6}{-3}=2 \\ \Rightarrow m=2 \end{gathered}$

therefore, the slope is m = 2. And the equation of the line is:

$y=2x+7$