What is the slope of the line that passes through the points left bracket, 2, comma, 9, right bracket(2,9) and left bracket, 18, comma, minus, 3, right bracket(18,−3)? Write
To find the slope of the line passing through the two points (2, 9) and (18, -3), we can use the formula:
Slope (m) = (y2 - y1) / (x2 - x1)
Substituting the given coordinates, we have:
Slope = (-3 - 9) / (18 - 2)
Slope = -12 / 16
Slope = -3/4
Therefore, the slope of the line is -3/4.
To find the slope of a line passing through two points, you can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Let's identify the coordinates of the two points given:
Point 1: (2, 9)
Point 2: (18, -3)
Now, we can calculate the change in y-coordinates and change in x-coordinates:
Change in y-coordinates = -3 - 9 = -12
Change in x-coordinates = 18 - 2 = 16
Finally, substitute the values into the formula to find the slope:
slope = (-12) / (16)
Simplifying the fraction, we get:
slope = -3/4
The slope of the line passing through the points (2, 9) and (18, -3) is -3/4.
To find the slope of a line passing through two given points, we can use the formula:
slope (m) = (change in y) / (change in x)
Let's calculate the values:
change in y = y2 - y1
change in y = -3 - 9
change in y = -12
change in x = x2 - x1
change in x = 18 - 2
change in x = 16
Now we can calculate the slope:
slope (m) = (change in y) / (change in x)
slope (m) = -12 / 16
slope (m) = -3/4
Therefore, the slope of the line passing through the points (2,9) and (18,-3) is -3/4.