What is the slope of the line that passes through the points left bracket, 1, comma, minus, 7, right bracket(1,−7) and left bracket, minus, 2, comma, minus, 7, right bracket(−2,−7)? Write your answer in simplest form.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points (1, -7) and (-2, -7), the slope is:
slope = (-7 - (-7)) / (-2 - 1)
slope = 0 / -3
slope = 0
Therefore, the slope of the line passing through the two given points is 0.
To find the slope of the line that passes through the points (1, -7) and (-2, -7), we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's substitute the coordinates into the formula:
slope = (-7 - (-7)) / (-2 - 1)
Simplifying the expression:
slope = 0 / -3
Since the numerator is 0, the slope is 0.
Therefore, the slope of the line passing through the points (1, -7) and (-2, -7) is 0.
To find the slope of a line passing through two points, we will use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, the two points are (1,-7) and (-2,-7).
We can find the change in the y-coordinates by subtracting the y-coordinate of the first point from the y-coordinate of the second point:
change in y-coordinates = (-7) - (-7) = 0
We can find the change in the x-coordinates by subtracting the x-coordinate of the first point from the x-coordinate of the second point:
change in x-coordinates = (-2) - 1 = -3
Plugging these values into the slope formula:
slope = 0 / -3 = 0
Therefore, the slope of the line passing through the points (1,-7) and (-2,-7) is 0.