Question

Write the equation of the line that passes through the points (-2,0) and (1,2).

Answer 1

Answer:

y = 2/3x + 1 1/3

Step-by-step explanation:

Find the slope using rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(2 - 0) / (1 + 2)

2 / 3

= 2/3

Then, plug in the slope and a point into y = mx + b to solve for b:

y = mx + b

2 = 2/3(1) + b

2 = 2/3 + b

1 1/3 = b

Plug in the slope and y intercept into y = mx + b

y = 2/3x + 1 1/3 is the equation of the line