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:
[tex]y - y_1 = m(x-x_1)[/tex]
Where, "m" is the slope of line
Here, m = 0
Thus the equation becomes:
[tex]y - y_1 = 0[/tex]
Given point is (-4, -1) .Substitute [tex]y_1 = -1[/tex]
[tex]y - (-1) = 0\\\\y + 1 = 0\\\\y = -1[/tex]
Thus the equation in point-slope form for a horizontal line that passes through (-4,-1) is y = -1
