Question

Find the equation of the line.
Use exact numbers
Y=

Answer 1

`y=-(3)/(2) x+3`

Explanation:

The slope (m) is
`-(3)/(2)` by finding the rise (the change in y ⇒ ∆y), over the run (the change in x ⇒ ∆x) from any two points from the line. In this case, the rise is -3, and the run is 2 OR you can say that the rise is 3, and the run is -2.

The y-intercept (b) is 3 because it’s where it intersects the y-axis. If you see the image, you can see that the line intersects the y-axis at the point (0, 3). So, the y-intercept (b) is 3.

Put it all together in Slope-intercept form, which is y=mx+b. So the m (slope) is
`-(3)/(2)` and the b (y-intercept) is 3. Plug those in to get:
`y=-(3)/(2) x+3`

Hope this helps! :)