Question

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

Answer 1

Answer:

y = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

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

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

m = $\frac{5-5}{-9-7}$ = $\frac{0}{-16}$ = 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