What is the equation of this line? A. y=43x−4

B. y=34x−4

C. y=−4x+34

D. y=−4x+43

A. y = 4/3x -4

Step-by-step explanation:

The y-intercept in the slope-intercept formula, y = mx + b, is b. This represents where the x is 0 on the graph. The line on the given graph has a y-intercept at (0, -4). Therefore we are looking for a formula with y = mx - 4. This gets rids of the choices C. and D.

The slope of a line is rise over run. So, how many points do you go up divided by how many points you go right. According to the given graph, to get from (0, -4) to (3, 0) you need to go up 4 and to the right 3. Since slope is rise over run, m = 4/3.

This gets rid of option B., leaving us with A. y = 4/3x - 4.

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