Question

Write the equation of the line that passes through (−2, 6) and (2, 14) in slope-intercept form. (2 points)

Answer 1

`y = 4x + 14`

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation we must first find the slope of the line

Slope of the line using points (−2, 6) and (2, 14) is

`m = (14 - 6)/(2 + 2) = (8)/(2) = 4`

Now we use the slope and any of the points to find the equation of the line.

Equation of the line using point ( - 2, 6) and slope 4 is

`y - 6 = 4(x + 2) \\ y - 6 = 4x + 8 \\ y = 4x + 8 + 6`

We have the final answer as

`y = 4x + 14`

Hope this helps you