Question

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

slope of – 3/5

Answer 1

y = -3/5x - 3

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!

Answer 2

The answer is

`y = - (3)/(5) x - 3 \\`

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 = - (3)/(5) (x - 5) \\ y + 6 = - (3)/(5) x + 3 \\ y = - (3)/(5) x + 3 - 6`

We have the final answer as

`y = - (3)/(5) x - 3 \\`

Hope this helps you