Question

What is an equation of the line that passes through the points left bracket, 5, comma, minus, 3, right bracket(5,−3) and left bracket, minus, 3, comma, minus, 3, right bracket(−3,−3)?

Answer 1

To find the equation of the line that passes through the points (5,-3) and (-3,-3), we first need to find the slope of the line.

The slope, denoted as m, is given by the formula:

m = (y2 - y1) / (x2 - x1)

Using the given points, our formula becomes:

m = (-3 - (-3)) / (-3 - 5)
m = 0 / (-8)
m = 0

Since the slope of the line is 0, we know that the line is horizontal. Thus, we have a line of the form y = b, where b is the y-coordinate of any point on the line. In this case, y = -3.

Therefore, the equation of the line that passes through the points (5,-3) and (-3,-3) is y = -3.