Question

Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (negative 6, 0) and (negative 8, 6). y = 3 x minus 7 y = negative 3 x + 3 y = one-third x + StartFraction 7 Over 9 EndFraction y = negative one-third x + 12

Answer 1

Answer:

$\boxed{ \mathrm{y = \ negative \ 3 x + 3}}$

Step-by-step explanation:

The coordinates are (-6,0) and (-8,6)

Finding slope of the line

Slope = $\frac{rise}{run} = \frac{y2-y1}{x2-x1}$

Slope = $\frac{6-0}{-8+6}$

Slope =$\frac{6}{-2}$

Slope = -3

Parallel lines have equal slopes.

So, the line which is parallel to this line is y = negative 3 x + 3

Answer 2

Answer:

$\boxed{ \mathrm{y = \ negative \ 3 x + 3}}$

Step-by-step explanation:

The coordinates are given (-6, 0) and (-8, 6)

Find slope of the line.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{6-0}{-8--6}$

$m=\frac{6}{-2}$

$m=-3$

Parralel lines have same slope.

y = mx + b

m = -3