Answer:To sketch a linear relationship with a slope of 3 that is not proportional, you can choose any two points on the line and connect them. Here's an example:
Let's choose the points (0, 0) and (1, 3). These points are not proportional because the y-coordinate is not three times the x-coordinate.
To show that the slope is 3, we can use the slope formula:
slope = (change in y) / (change in x)
Let's calculate the slope using the two points we chose:
slope = (3 - 0) / (1 - 0)
= 3 / 1
= 3
The slope is 3, as expected.
To write an equation for the line, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (0, 0) and the slope of 3, we have:
y - 0 = 3(x - 0)
Simplifying the equation gives us:
y = 3x
So, the equation for the line is y = 3x.
By sketching the line connecting the two points and using the equation y = 3x, you can visually see the linear relationship with a slope of 3 that is not proportional.
Explanation: