Question

Find the equation of the line that passes through the points (2, 2) and (-4, -1).

Select the appropriate response:
A) y=3x-3
B) y = (– 2/3)x + 8/3
C) y=1/2x+1

Help me please!

Answer 1

The answer to your question is the letter C) y = 1/2x+ 1

Explanation:

Data

Point 1 = (2, 2)

Point 2 = (-4, -1)

Process

1.- Find the slope of the line

Slope = m = (y2 - y1)/(x2 - x1)

x1 = 2 y1 = 2 x2 = -4 y2 = -1

-Substitution

m = (2 + 1) / (2 + 4)

-Simplification

m = 3/6

-Result

m = 1/2

2.- Find the equation of the line

y - y1 = m(x - x1)

y - 2 = 1/2(x - 2)

-Expand

y - 2 = 1/2x - 2(1/2)

-Simplify

y - 2 = 1/2x - 1

y = 1/2x - 1 + 2

-Result

y = 1/2x+ 1