Find the equation of the line.
Use exact numbers.
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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 [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to find slope. Let's use (1,6) and (2,8).
[tex]m=\frac{8-6}{2-1}=\frac{2}{1} =2[/tex]
Now that we know the slope, we can fill in our slope-intercept equation.
y=2x+4