Question

58 POINTS!!! The line contains the point (8,2) and is parallel to a line with a slope of -2/3 The equation of the line is

Answer 1

Answer:

The answer is

$y = - \frac{2}{3} x + \frac{22}{3}$

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Since the lines are parallel their slope are also the same

So the slope of parallel line = - 2/3

So the equation of the line containing the point (8 , 2) and slope - 2/3 is

$y - 2 = - \frac{2}{3} (x - 8) \\ y - 2 = - \frac{ 2}{3} x + \frac{16}{3} \\ y = - \frac{2}{3} x + \frac{16}{3} + 2$

We have the final answer as

$y = - \frac{2}{3} x + \frac{22}{3}$

Hope this helps you

Answer 2

Slope intercept form: y = mx + b

Parallel lines have the same slope, so the slope is -2/3.

We can solve using point slope form.

y - 2 = -2/3(x - 8)

y - 2 = -2/3x + 16/3

y = -2/3x + 22/3

Best of Luck!