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snow_tiger [21]
3 years ago
12

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

ar) is _____​
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
6 0

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}

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