4. What is the slope of the line that goes through (6, 5) and (3, 1)? (1 point)
–
–
5. The slope of the line that goes through (−3, −5) and (−3, −6) is ______. (1 point)
4. (1-5)/(3-6)
= 4/3
5. (-6-(-5)/(-3-(-3)
-1/0
Undefined
To find the slope of a line, you can use the formula:
slope = (change in y) / (change in x)
For question 4, we have the points (6, 5) and (3, 1).
So, the change in y is 5 - 1 = 4, and the change in x is 6 - 3 = 3.
Plugging these values into the formula, we get:
slope = 4 / 3
Therefore, the slope of the line that goes through (6, 5) and (3, 1) is 4/3.
For question 5, we have the points (-3, -5) and (-3, -6).
Since the x-coordinate remains the same for both points, the change in x is 0.
The change in y is -6 - (-5) = -6 + 5 = -1.
Plugging these values into the slope formula, we get:
slope = -1 / 0
However, division by zero is undefined. So, the slope for this line cannot be determined.