Answer: y=8x
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is slope and b is y-intercept. To find slope, we take any two points and plug them into [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Let's use (1,8) and (2,16).
[tex]m=\frac{16-8}{2-1}=\frac{8}{1} =8[/tex]
Now, we know that m=8. Looking at the graph, we can see that the y-intercept is b=0 because the line passes through the y-axis at (0,0). To be sure, let's plug in a point into our equation to see if the y-intercept is correct.
y=8x+b [plug in (1,8)]
8=8(1)+b [multiply]
8=8+b [subtract both sides by 8]
b=0
Therefore, our equation is y=8x.
