Question

What is the equation for the line in slope-intercept form? Enter your answer in the box.​

Answer 1

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 $m=\frac{y_2-y_1}{x_2-x_1}$. Let's use (1,8) and (2,16).

$m=\frac{16-8}{2-1}=\frac{8}{1} =8$

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.