Question

3 points] Write the equation of the line passing through (-1, 4) and (2,-2) in lope – intercept form.​

Answer 1

y = - 2x + 2

Explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, - 2)

m =
`(-2-4)/(2+1)` =
`(-6)/(3)` = - 2 , thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 2 ), then

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = - 2x + 2 ← equation of line