Question

What is the slope-intercept equation for the following line?

Answer 1

Answer:

$y=-\frac{1}{2}-3$

Step-by-step explanation:

Taking any two points, say (0,-3) and (2,-4), we can find the slope using the formula $\frac{y_1-y_2}{x_1-x_2}$, which gives

$\frac{(-3)-(-4)}{0-2}=-\frac{1}{2}$.

From the graph, we can see the y-intercept is $-3$, so the equation of the line is $y=-\frac{1}{2}-3$.