Question

Find the equation of the line.
Use exact numbers.

Answer 1

Answer: y=2x+4

Step-by-step explanation:

From the graph, we already know what the y-intercept is. The line crosses the y-axis at (0,4). Therefore, 4 is our y-intercept.

For the slope, we can take any 2 points on the graph and then use the formula $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ to find slope. Let's use (1,6) and (2,8).

$m=\frac{8-6}{2-1}=\frac{2}{1} =2$

Now that we know the slope, we can fill in our slope-intercept equation.

y=2x+4