Question

What’s the equation for 8 and 9 i need the answer asap

Answer 1

see explanation

Explanation:

Calculate the slope m using the slope formula

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

(8)

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (8, 2)

m =
`(2-2)/(8+3)` =
`(0)/(11)` = 0

A slope of zero indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- 3, 2) and (8, 2) with y- coordinates 2, thus

y = 2 ← equation of line

(9)

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

with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 3, 2)

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

y =
`(1)/(3)` x + c ← is the partial equation

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

Using (- 3, 2) , then

2 = - 1 + c ⇒ c = 2 + 1 = 3

y =
`(1)/(3)` x + 3 ← equation of line