Question

Find the equation of the graphed line, please select the best answer from the choices provided.​

Answer 1

I think the answer to this is D.

Answer 2

Explanation:

In slope-intercept form of a line, y = mx + b, b is the point where the line goes through the y-axis. Find that first. It looks like our line goes through the y axis at a positive 4, so +4. Fill that in first:

y = ___x + 4

We need something to fill into that underlined space. That will be the slope, rise over run, or maybe a bit more easily understood as y over x. From the y intercept of 4, in order to get to the next place on the line where it intersects the corner of one of the grids on the graph, we have to go down 1, and then to the right 1. Down is negative and right is positive, so if we go down 1 and right 1, our slope looks like this:

`(-1)/(+1) =-1`

So our slope is -1. Fill that in the blank above to get a line with the equation

y = -x + 4, choice b.