Question

give the equation of each line in the 5 graphs below. make sure to scroll down to see all the graphs. give your answers in slope - intercept form unless the line is vertical.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: For the first non - horizontal line

Find two points on the line, say $(-6,0)$ and $(0,2)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{2 - 0}{0+6}=\frac{1}{3}$. The y - intercept $b = 2$. So the equation is $y=\frac{1}{3}x + 2$.

Step3: For the horizontal line

The line is at $y=-1$. In slope - intercept form, the slope $m = 0$, and the equation is $y=0x-1$ or simply $y=-1$.

Answer:

For the first line: $y=\frac{1}{3}x + 2$
For the second line: $y=-1$