Question

Write an equation for the line that passes through (4,-6) and (-7,-6). Is the line parallel or perpendicular to the y-axis?

Answer 1

y = -6 and perpendicular to the y -axis

Explanation:

To find the equation of the line, calculate the slope using two points. With the slope and one point, substitute them into the point slope form and simplify as needed.

Use the points (4,-6) and (-7,-6).

Slope =
`(y_2-y_1)/(x_2-x_1)=(-6--6)/(-7-4)=(0)/(-11)=0`

Since the slope is 0, this is a horizontal line parallel to the x-axis. This means it will be perpendicular to the y-axis.

And its equation has the form y = b where b i the y-coordinate value. Here it is y = -6.