Question

Use slopes and y-intercepts to determine if the lines 4x−3y=6 and y=43x−1 are parallel.

Answer 1

Answer:

Since they have the same slope, they are parallel.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope. If two lines are parallel, they have the same slope.

4x−3y=6

Placing into the above format:

$3y = 4x - 6$

$y = \frac{4x - 6}{3}$

$y = \frac{4x}{3} - 2$

The slope $m = \frac{4}{3}$

y=4/3x−1

The slope is $m = \frac{4}{3}$

Since they have the same slope, they are parallel.