For each, find the slope of the line containing the points
(-4,7) (-6,-4)
To find the slope of a line passing through two points, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Given the two points (-4, 7) and (-6, -4), we can substitute the coordinates into the slope formula:
slope = (-4 - 7) / (-6 - (-4))
= (-4 - 7) / (-6 + 4)
= (-11) / (-2)
= 11/2
Therefore, the slope of the line passing through the points (-4, 7) and (-6, -4) is 11/2.
To find the slope of a line given two points, you can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's apply this formula to the given points (-4, 7) and (-6, -4):
m = (-4 - 7) / (-6 - (-4))
First, let's simplify the numerator:
-4 - 7 = -11
Now, let's simplify the denominator:
-6 - (-4) = -6 + 4 = -2
Now, substitute these values back into the formula:
m = -11 / -2
Finally, simplify the fraction:
m = 11/2
Therefore, the slope of the line containing the points (-4, 7) and (-6, -4) is 11/2 or 5.5.