Question

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

Answer 1

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

(8)

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

m = $\frac{2-2}{8+3}$ = $\frac{0}{11}$ = 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 = $\frac{2-1}{-3+6}$ = $\frac{1}{3}$ , then

y = $\frac{1}{3}$ 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 = $\frac{1}{3}$ x + 3 ← equation of line