Question

Find the parallel and perpendicular slope of a line if linear equation is 7y=20(x-3) Slope (Parallel) is ____ Slope (Perpendicular) is _____​

Answer 1

Answer:

The parallel line has slope $\frac{20}{7}$

The perpendicular line has slope $-\frac{7}{20}$

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.

Parallel lines:

Parallel lines have the same slope.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

We have the following line:

$7y = 20(x-3)$

Placing it in the general format

$7y = 20x - 60$

$y = \frac{20x}{7} - \frac{60}{7}$

So this line has slope $\frac{20}{7}$

Parallel line:

Same slope, so the parallel line has slope $\frac{20}{7}$

Perpendicular line:

Multiplication of the slopes is -1. So

$\frac{20m}{7} = -1$

$20m = -7$

$m = -\frac{7}{20}$

The perpendicular line has slope $-\frac{7}{20}$