Question

The line passing through the points (−7, 4) and (5, 4) is parallel to ______.

Options

• x-axis

• y-axis

• x + y = 0

• x − y = 0

Answer 1

The line passing through the points (−7, 4) and (5, 4) is parallel to x-axis.

Explanation:

By formula,

Slope = `(y_2 − y_1)/(x_2 − x_1)`

Substituting values we get:

Slope of line passing through (−7, 4) and (5, 4)

= `(4 − 4)/(5 − (−7))`

= `0/(5+7)` 

= `0/12`

= 0

We know that,

Slope of parallel lines are equal.

We know that,

Slope of x-axis = 0.

∴ Slope of line passing through (−7, 4) and (5, 4) = Slope of x-axis.