GKT101: General Knowledge for Teachers – Math

1. The slope of the line is $2$.

To measure slope, we pick any two points on the line. Then we look at the horizontal and vertical distances between those points.

Going from the point on the left to the point on the right, the change in $y$ is $2$, and the change in $x$ is $1$.

$\begin{aligned} \text { Slope }=\frac{\text { rise }}{\text { run }}=\frac{\Delta y}{\Delta x} &=\frac{2}{1} \\ &=2 \end{aligned}$

The slope of the line is $2$.

2. The slope of the line is $- \frac {4}{5}$.

To measure slope, we pick any two points on the line. Then we look at the horizontal and vertical distances between those points.

Going from the point on the left to the point on the right, the change in $y$ is $-4$, and the change in $x$ is $5$.

$\begin{aligned} \text { Slope }=\frac{\text { rise }}{\text { run }}=\frac{\Delta y}{\Delta x} &=\frac{-4}{5} \\ &=-\frac{4}{5} \end{aligned}$

The slope of the line is $- \frac {4}{5}$.

3. The slope of the line is $-1$.

To measure slope, we pick any two points on the line. Then we look at the horizontal and vertical distances between those points.

Going from the point on the left to the point on the right, the change in $y$ is $-1$ and the change in $x$ is $1$.

$\begin{aligned} \text { Slope }=\frac{\text { rise }}{\text { run }}=\frac{\Delta y}{\Delta x} &=\frac{-1}{1} \\ &=-1 \end{aligned}$

The slope of the line is $-1$

4. The slope of the line is $\frac {3}{2}$.

To measure slope, we pick any two points on the line. Then we look at the horizontal and vertical distances between those points.

Going from the point on the left to the point on the right, the change in $y$ is $3$, and the change in $x$ is $2$.

$\text { Slope }=\frac{\text { rise }}{\text { run }}=\frac{\Delta y}{\Delta x}=\frac{3}{2}$

The slope of the line is $\frac {3}{2}$.