Question

PLEASE HELPPPP

What is the equation of the line that passes through the point (4, -4) and has a
slope of ?

Answer 1

`y = -(5)/(2)x + 6`

Explanation:

Using a point (4, -4) and the slope of the line that passes through it, m = -⁵/2, we can generate an equation by using the point-slope form equation of a line given as y - b = m(x - a).

Where,

(a, b) = (4, -4)

m = -⁵/2

Plug in the values

y - (-4) = -⁵/2(x - 4)

y + 4 = (-5x + 20)/2

Multiply both sides by 2

2y + 8 = -5x + 20

Subtract both sides by 8

2y = -5x + 20 - 8

2y = -5x + 12

Divide both sides by 2

y = -⁵/2x + 12/2

`y = -(5)/(2)x + 6` (equation in slope-intercept form)