Linear Function y=mx+b: Understanding the concept of slope

Which best describes the function below?

$y=2-3x$

Remember that the rate of change equals the slope.

In this function:

$m=-3$

Therefore, the function is decreasing.

The function is decreasing.

Calculate the slope of the line that passes through the points $(4,1),(2,5)$.

Remember the formula for calculating a slope using points:

Now, replace the data in the formula with our own:

$\frac{(5-1)}{(2-4)}=\frac{4}{-2}=-2$

-2

What is the slope of a straight line that passes through the points $(0,0),(-8,2)$?

To solve the problem, remember the formula to find the slope using two points

Now, we replace the given points in the calculation:

 $\frac{(0-2)}{(0-(-8)}=\frac{-2}{8}=-\frac{1}{4}$

$-\frac{1}{4}$

A linear function has a slope of -3 and passes through the point $(-6,-3)$.

Choose the equation that represents the function.

$y=-3x-21$

A linear function with a slope of 5 passes through the point $(2,4)$.

Choose the equation that represents this function.

$y=5x-6$

A linear function with a slope of 6 passes through the point $(1,-4)$.

Which equation represents the function?

$y=6x-10$

A linear function has a slope of 1 and passes through the point $(6,13)$.

Choose the equation that represents this function.

$y=x+7$

A linear function with a slope of 6 passes through the point $(1,1)$.

Which equation represents the function?

$y=6x-5$

What is the slope of a straight line that passed through the points $(0,4),(-5,6)$?

$-\frac{2}{5}$

Calculate the slope of a straight line that passes through the points $(-6,1),(2,4)$.

$\frac{3}{8}$