Question

What is the equation for the line?



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Answer 1

Answer:
`y=8x`

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=(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=(0-16)/(0-2)\\\\m=(-16)/(-2)\\\\m=8`

Therefore, the equation of the line is:

`y=8x`