how do I find the slope of the graph of the linear function "f"?
f(2) = -3,f(-2) = 5
The formula for slope is change in y/change in x. F(x) is the same as y in this case. Change in y = 2--2 = 4. Change in x = -3-5 = -8. 4/-8 = -1/2
Ok-but what is the formula using x and y variables?
is the slope y1-y2 over x1-x2?
f(2) = -3,f(-2) = 5 means you are given the two points
(2,-3) and (-2,5)
So the slope is (5+3)/(-2-2) = ......
Thank you!
To find the slope of the graph of a linear function, you will need two coordinates on the graph. In this case, you are given two points: (2, -3) and (-2, 5).
The slope of a line can be found using the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
We can choose one point as the "initial" point (x₁, y₁) and the other as the "final" point (x₂, y₂). Let's choose (2, -3) as our initial point and (-2, 5) as our final point.
Now we plug in the values into the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
= (5 - (-3)) / (-2 - 2)
= (5 + 3) / (-2 - 2)
= 8 / (-4)
= -2
Therefore, the slope of the graph of the linear function "f" is -2.