Find the equation of the line that passes through point (7,5) and (-9,5)

y = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m =

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 9, 5)

m = = = 0

This means 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 (7, 5) and (- 9, 5) with y- coordinates 5, thus

y = 5 ← equation of line

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

i hope this is what you were looking for.

see attached graph