Question

What is the equation of the line with a slope of (-1/4) that goes through the point (-5,3

Answer 1

see explanation

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = -
`(1)/(4)`, thus

y = -
`(1)/(4)` x + c ← is the partial equation

To find c substitute (- 5, 3) into the partial equation

3 =
`(5)/(4)` + c ⇒ c = 3 -
`(5)/(4)` =
`(7)/(4)`, hence

y = -
`(1)/(4)` x +
`(7)/(4)` ← equation in slope- intercept form