Answer: [tex]y=8x[/tex]
Step-by-step explanation:
The following equation represents a straight line that passes through the origin (Point [tex](0,0)[/tex]):
[tex]y=mx[/tex]
Where "m" is the slope of the line.
In order to find the slope the line, you can use the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Choose two points on the line. You can choose these points:
[tex](0,0)\\(2,16)[/tex]
You can say that:
[tex]y_2=0\\y_1=16\\\\x_2=0\\x_1=2[/tex]
Substituting values into the formula, you get that the slope is:
[tex]m=\frac{0-16}{0-2}\\\\m=\frac{-16}{-2}\\\\m=8[/tex]
Therefore, the equation of the line is:
[tex]y=8x[/tex]
