Write the equation of the line that passes through the points left bracket, minus, 4, comma, minus, 5, right bracket(−4,−5) and left bracket, 9, comma, minus, 5, right bracket(9,−5). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
The equation of the line can be expressed in the point-slope form:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line and m is the slope.
Given two points (x1, y1) = (-4, -5) and (x2, y2) = (9, -5), we can find the slope using the formula:
m = (y2 - y1)/(x2 - x1)
Substituting the given values:
m = (-5 - (-5))/(9 - (-4))
m = 0/13
m = 0
Since the slope is 0, the line is horizontal.
The equation of the line is y = -5.
Therefore, the equation of the line in fully simplified point-slope form is y = -5.