Question

(1, 2) and (3, -2).

writing equations in slope intercept form

Answer 1

y=2x+1 and y=-2x+3

Explanation:

Answer 2

y = - 2x + 4

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, 2) and (x₂, y₂ ) = (3, - 2)

m =
`(-2-2)/(3-1)` =
`(-4)/(2)` = - 2, then

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

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

Using (1, 2 ) , then

2 = - 2 + c ⇒ c = 2 + 2 = 4

y = - 2x + 4 ← equation of line