Question

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

Answer 1

y = 5

Explanation:

Calculate the slope m using the slope formula

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

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

m =
`(5-5)/(-9-7)` =
`(0)/(-16)` = 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