Question

Determine the standard form of the equation of the line that passes through (-7, 8) and (0, 2)

Answer 1

Answer:

The answer is

$y = - \frac{6}{7} x + 2$

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

Slope of the points (-7, 8) and (0, 2) is

$m = \frac{2 - 8}{0 + 7} = - \frac{6}{7}$

After that use the formula

y - y1 = m(x - x1)

To find the equation of the line

Equation of the line using point (0,2) and slope - 6/7 is

$y - 2 = - \frac{6 }{7} (x - 0)$

$y - 2 = - \frac{6}{7} x$

We have the final answer as

$y = - \frac{ 6}{7} x + 2$

Hope this helps you