Question

Which equation best represents the equation of the line? please help!

Answer 1

Answer: y = 1/3x -1

Explanation:

1. Find the y-intercept (the value of y when x = 0). For this graph, when x = 0, y = -1. -1 would be the b value in the equation mx + b. Thus, the equation could the either the second or third option.

2. Slope

Since y increases as x increases, the line has a positive slope. Since we narrowed the answer down to two options, and the second option has a negative slope, the third option would best represent the equation of the line.

Answer 2

y = 1/3x -1

Explanation:

Let’s look at this in y = mx + b form. b is the y-intercept and we see that it intersects with the y-axis at (0,-1), so b = -1. The slope is 1/3 because for every 3 units it ”runs,” it rises by 1, so m = 1/3. Substituting, we get: y = 1/3x -1.

I hope this helps! :)