Question

Write an equation in point-slope form for a horizontal line that passes through (-4,-1)

Answer 1

The equation in point-slope form for a horizontal line that passes through (-4,-1) is y = -1

Solution:

Given that, a horizontal line that passes through (-4,-1)

If a line is horizontal, then the slope is 0

A horizontal line has slope 0 because all its points have the same y-coordinate

The equation of line in point slope form is given as:

`y - y_1 = m(x-x_1)`

Where, "m" is the slope of line

Here, m = 0

Thus the equation becomes:

`y - y_1 = 0`

Given point is (-4, -1) .Substitute
`y_1 = -1`

`y - (-1) = 0\\\\y + 1 = 0\\\\y = -1`

Thus the equation in point-slope form for a horizontal line that passes through (-4,-1) is y = -1