Write the equation of the line that passes through the points left bracket, minus, 3, comma, minus, 1, right bracket(−3,−1) and left bracket, 5, comma, minus, 1, right bracket(5,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line
The equation of a line can be represented in point-slope form as y - y1 = m(x - x1), where (x1, y1) represents a point on the line and m is the slope of the line.
To find the slope, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
Using the given points (-3,-1) and (5,-1):
m = (-1 - (-1)) / (5 - (-3))
m = 0 / 8
m = 0
Since the slope is 0, the line is horizontal. The equation of the line in point-slope form is:
y - (-1) = 0(x - 5)
y + 1 = 0
So the equation of the line that passes through (-3,-1) and (5,-1) is y + 1 = 0.