Question

A line passes through the point (-4, 2) and has a slope of -5/4

Write an equation in slope-intercept form for this line.

Answer 1

y= -5/4x+2 or y= -5/4(-4)+2

Explanation:

y=mx+b

(-4,2)

2=y

m=slope=-5/4

x=-4

I hope this helps.

Answer 2

The answer is

`y = - (5)/(4) 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 (-4, 2) and has a slope of -5/4

The equation of the line is

`y - 2 = - (5)/(4) (x + 4) \\ y - 2 = - (5)/(4) x - 5 \\ y = - (5)/(4) x - 5 + 2`

We have the final answer as

`y = - (5)/(4) x - 3`

Hope this helps you