Question

How do i write the equation

Answer 1

`y=-(1)/(5)x`

Explanation:

Start by finding the slope of the line. Slope is defined as the RISE over the RUN. Find two points on the line with clear coordinate pairs. The line clearly passes through the origin, and the point (5,-1). To get from one point to the other, I have to go DOWN 1 unit. This is the RISE. The rise is -1 because I am going down. I also have to go RIGHT 5 units. This is the RUN. Slope is rise divided by run. Since a positive number divided by a negative number is a negative number, I move the negative sign outside the fraction:
`-(1)/(5)`. This is the slope!

The line crosses the y-axis at 0, so the y-intercept is 0.

Point-slope form is a way to write linear equations. It looks like this:

`y=mx+b`

The letter m represents the slope, and the letter b represents the y-intercept. Let's plug in the values we found for those respectively:

`y=-(1)/(5)x+0`

This simplifies to the equation below! This is the equation of the line!

`y=-(1)/(5)x`