Task:
Come up with a new linear function that has a slope that falls in the range -1<m<0
I just need help with the task above, thank you :)
y = -.23x + 56.78
or
y = (-1/2)x + 3
Thank you very much Reiny :)
To create a linear function with a slope in the range -1 < m < 0, you can use the equation:
y = mx + c
where m is the slope and c is the y-intercept (constant term).
Let's assume we want the slope to be -0.5. In this case, the equation would be:
y = -0.5x + c
You can choose any value for c to represent the y-intercept. For example, let's use c = 3. The final linear function would be:
y = -0.5x + 3
This equation represents a linear function with a slope between -1 and 0.
To come up with a linear function with a slope that falls in the range -1 < m < 0, you can use the general form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
To satisfy the requirement of -1 < m < 0, you can choose any negative value between -1 and 0 as the slope. Let's use -0.5 as an example.
The linear function with a slope of -0.5 can be written as:
y = -0.5x + b
To determine the value of b, you need additional information since the y-intercept can be any real number. If you have a specific point (x, y) that the linear function passes through, you can substitute the values into the equation and solve for b.
For example, let's say the linear function passes through the point (2, 3). We can substitute these values into the equation:
3 = -0.5(2) + b
Simplifying the equation:
3 = -1 + b
Adding 1 to both sides:
4 = b
Therefore, the linear function with a slope between -1 and 0 and passing through the point (2, 3) is:
y = -0.5x + 4