Question

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

Answer 1

Answer:

$y = 4x + 14$

Step-by-step 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

$m = \frac{14 - 6}{2 + 2} = \frac{8}{2} = 4$

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