Question

A line passes through the point ( -4, 3) and has a slope of -5/4

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

Answer 1

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

Explanation:

the equation of a line in slope- intercept form is

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

here slope m = -
`(5)/(4)` , then

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

to find c substitute (- 4, 3 ) into the partial equation

3 = -
`(5)/(4)` (- 4) + c = 5 + c ( subtract 5 from both sides )

- 2 = c

y = -
`(5)/(4)` x - 2 ← equation of line