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Nikolay [14]
3 years ago
15

What is the equation of the line that passes through the point (5, -6) and has a slope of – 3/5

Mathematics
2 answers:
prohojiy [21]3 years ago
4 0

Answer:

y = -3/5x - 1

Step-by-step explanation:

Slope intercept form is [ y = mx + b ] where m = slope and b = y-intercept.

We know the slope so we need to find the y-intercept.

y = -3/5x + b

-6 = -3/5(5) + b

-6 = -5 + b

-1 = b

y = -3/5x - 1

Best of Luck!

Inessa [10]3 years ago
3 0

Answer:

The answer is

<h2>y =  -  \frac{6}{5} x - 3 \\</h2>

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1) \\

where

m is the slope

( x1 , y1) is the point

From the question the point is (5, -6) and slope - 3/5

The equation of the line is

y + 6 =  -  \frac{3}{5} (x - 5) \\ y + 6 =  -  \frac{3}{5} x + 3 \\ y =  -  \frac{6}{5} x + 3 - 6

We have the final answer as

y =  -  \frac{6}{5} x - 3 \\

Hope this helps you

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