what is the equasion of the line?

Question

Answer 1

HI Aleasia,

Let's refer to: y=mx+b, where m is the slope and b is the y-intercept.

Slope is rise/run; to go to one "nice" coordinate point to the next we go up 3 and right 4. So our slope is 3/4.

The y-intercept is where the line crosses the y-axis. In this case, it's -1.

Combine and you get y=(3/4)x-1.

Answer 2

The graph contains the points (-4,-4) and (4,2).

Slope = (2 - (-4)) / (4 - (-4)) = 6 / 8 = 3 /4 = m

Equation of line: y = mx + b

Since m = 3/4 and (4,2) is on the graph we have 2 = (3/4)(4) + b. So, b = -1.

Equation of line: y = (3/4)x - 1