Question

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

Answer 1

Answer:

The answer is

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

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

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

We have the final answer as

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

Hope this helps you

Answer 2

Answer:

y = -3/5x - 3

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 = -3 + b

-3 = b

Put everything we know/solved for into the formula shown above.

y = -3/5x - 3

Best of Luck!