Question

Help me pls and explain to me how to find y intercept

Answer 1

y = -x + 4

Explanation:

(-1, 5), (2. 2)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 2 - 5 -3 -3

m = ----------- = ----------- = --------- = ------- = -1

x₂ - x₁ 2 - (-1) 2 + 1 3

y - y₁ = m(x - x₁)

y - 5 = -1(x - (-1))

y - 5 = -1(x + 1)

y - 5 = -x - 1

+5 +5

----------------------

y = -x + 4

I hope this helps!

Answer 2

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 )

calculate m using the slope formula

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

with (x₁, y₁ ) = 8, - 4) and (x₂, y₂ ) = (- 1, 5) ← 2 ordered pairs from the table

m =
`(5-(-4))/(-1-8)` =
`(5+4)/(-9)` =
`(9)/(-9)` = - 1 , then

y = - x + c

to find c use any ordered pair from the table

using (2, 2 ) , then

2 = - 2 + c ⇒ c = 2 + 2 = 4

y = - x + 4 ← in slope- intercept form

with y- intercept c = 4