Slope

1.

Graphing the first point

To graph a line, we need to find two points that are on it. Then we can drag the movable points to those points.

We already have one point, $(4, 3)$, and we can use the slope of the line to find another point.

We want the slope to be $\frac {1}{2}$. Let's look at this slope as a fraction to help us graph the line:

$\text { slope }=\frac{\text { rise }}{\text { run }}=\frac{\Delta y}{\Delta x}=\frac{1}{2}$

Starting at $(4, 3)$, let's go $1$ unit up and $2$ units to the right to plot another point on the line:

The answer

2.

Graphing the first point

To graph a line, we need to find two points that are on it. Then we can drag the movable points to those points.

We already have one point, $(-3, 5)$, and we can use the slope of the line to find another point.

Use the slope to graph another point

We want the slope to be $-\frac {2}{5}$. Let's look at this slope as a fraction to help us graph the line:

$\text { slope }=\frac{\text { rise }}{\text { run }}=\frac{\Delta y}{\Delta x}=\frac{-2}{5}$

Starting at $(-3, 5 )$, let's go 2 units down and 5 units to the right to plot another point on the line:

The answer

3.

Graphing the first point

To graph a line, we need to find two points that are on it. Then we can drag the movable points to those points.

We already have one point, $(3, 0)$, and we can use the slope of the line to find another point.

Use the slope to graph another point

We want the slope to be $4$. Let's look at this slope as a fraction to help us graph the line:

$\text { slope }=\frac{\text { rise }}{\text { run }}=\frac{\Delta y}{\Delta x}=\frac{4}{1}$

Starting at $(3, 0)$, let's go 4 units up and 1 unit to the right to plot another point on the line:

The answer

4.

Graphing the first point

To graph a line, we need to find two points that are on it. Then we can drag the movable points to those points.

We already have one point, $(-2, 7)$, and we can use the slope of the line to find another point.

Use the slope to graph another point

We want the slope to be $4$:

$\text { slope }=\frac{\text { rise }}{\text { run }}=\frac{\Delta y}{\Delta x}=\frac{4}{1}=\frac{-4}{-1}$

Starting at $(-2, 7)$, we don't have room on the given grid to go $4$ units up and $1$ unit right. So let's go $4$ units down and $1$ unit to the left to plot another point on the line.

The answer