1. Examples
1. Draw a line with slope = 3 and Y-Intercept = 4
Solution:
Step 1: Graph the y-intercept:
The y-intercept is `4`. So, plot the first point `color{green}{(0,4)}`
Step 2: Find second point by using the slope
`m="rise"/"run"=3/1`
`:."rise"=3` and `"run"=1`
From `(0,4)`, Plot the point that is 3 units up and 1 unit right.
We get the second point as `(0+1,4+3)=(1,7)`.
So, plot the second point `color{blue}{(1,7)}`
Step 3: Draw a line through these two points `(0,4)` and `(1,7)`
2. Draw a line with slope = 4 and Y-Intercept = -5
Solution:
Step 1: Graph the y-intercept:
The y-intercept is `-5`. So, plot the first point `color{green}{(0,-5)}`
Step 2: Find second point by using the slope
`m="rise"/"run"=4/1`
`:."rise"=4` and `"run"=1`
From `(0,-5)`, Plot the point that is 4 units up and 1 unit right.
We get the second point as `(0+1,-5+4)=(1,-1)`.
So, plot the second point `color{blue}{(1,-1)}`
Step 3: Draw a line through these two points `(0,-5)` and `(1,-1)`
3. Draw a line with slope = -5 and Y-Intercept = 6
Solution:
Step 1: Graph the y-intercept:
The y-intercept is `6`. So, plot the first point `color{green}{(0,6)}`
Step 2: Find second point by using the slope
`m="rise"/"run"=-5/1`
`:."rise"=-5` and `"run"=1`
From `(0,6)`, Plot the point that is 5 units down and 1 unit right.
We get the second point as `(0+1,6-5)=(1,1)`.
So, plot the second point `color{blue}{(1,1)}`
Step 3: Draw a line through these two points `(0,6)` and `(1,1)`
4. Draw a line with slope = 6 and Y-Intercept = 7
Solution:
Step 1: Graph the y-intercept:
The y-intercept is `7`. So, plot the first point `color{green}{(0,7)}`
Step 2: Find second point by using the slope
`m="rise"/"run"=6/1`
`:."rise"=6` and `"run"=1`
From `(0,7)`, Plot the point that is 6 units up and 1 unit right.
We get the second point as `(0+1,7+6)=(1,13)`.
So, plot the second point `color{blue}{(1,13)}`
Step 3: Draw a line through these two points `(0,7)` and `(1,13)`
This material is intended as a summary. Use your textbook for detail explanation.
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