Question

Find an equation for the line below

Answer 1

Answer:

y = 1/3 x + 14/3

Step-by-step explanation:

We can identify the two points shown easily.

They are (-2, 4) and (4, 6).

First, we find the line of the slope of the line that contains those two points.

slope = m = (y2 - y1)/(x2 - x1) = (6 - 4)/[4 - (-2)] = 2/6 = 1/3

Now we use one point and the slope to find the y-intercept.

y = mx + b

Let's use point (4, 6) and the slope, 1/3.

6 = (1/3)(4) + b

18/3 = 4/3 + b

b = 18/3 - 4/3

b = 14/3

The equation is

y = mx + b

y = 1/3 x + 14/3