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mixas84 [53]
3 years ago
10

Find the slope of (-20, -9), (-6,0)

Mathematics
1 answer:
levacccp [35]3 years ago
7 0

Step-by-step explanation:

use the formula to calculate slope

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What is an equation of the line that passes through the point (-4,-6) and is perpendicular to the line 4x+5y=25
elixir [45]

Answer:

y =  \frac{5}{4} x - 1

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

First rewrite the equation of the given line in the form of y=mx +c.

4x+5y=25

5y= -4x +25

y =  -  \frac{4}{5} x + 5

The gradient of the given line is -  \frac{4}{5}

The product of the gradient of perpendicular lines is -1.

( -  \frac{4}{5} )(gradient \: of \: line) =  - 1 \\ gradient \: of \: line =  - 1  \div ( -  \frac{4}{5} ) \\ gradient \: of \: line =  \frac{5}{4}

Thus, m= \frac{5}{4}

y =  \frac{5}{4} x + c

Substitute a coordinate to find c.

When x= -4, y= -6,

- 6 =  \frac{5}{4} ( - 4) + c \\  - 6 =  - 5 + c \\ c = 5 - 6 \\ c =  - 1

Hence, the equation of the line is

y =  \frac{5}{4} x - 1

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Step-by-step explanation:


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Solve for r<br> I need help
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