Question

What is the equation for the line? Enter your answer in the box.

Answer 1

Answer: $y=8x$

Step-by-step explanation:

The following equation represents a straight line that passes through the origin (Point $(0,0)$):

$y=mx$

Where "m" is the slope of the line.

In order to find the slope the line, you can use the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Choose two points on the line. You can choose these points:

$(0,0)\\(2,16)$

You can say that:

$y_2=0\\y_1=16\\\\x_2=0\\x_1=2$

Substituting values into the formula, you get that the slope is:

$m=\frac{0-16}{0-2}\\\\m=\frac{-16}{-2}\\\\m=8$

Therefore, the equation of the line is:

$y=8x$