Question

Write the point-slope form of an equation of the line through the points (-1, 4) and (-2, 2)

A. y + 2 = 2(x - 2)
B. y 4 20 + 1)
c. y + 1 = 2(3-4)
D. y 2 233 - 2)

Answer 1

The answer is option B

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find an equation of a line given two points first find the slope / gradient

Slope of the line using points (-1,4) and (-2,2) is

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

So the equation of the line using point (-1,4) is

y - 4 = 2( x + 1)

Hope this helps you