6) slope is 1, y-intercept is 3, equation in slope-intercept form:
![y=x+3](https://tex.z-dn.net/?f=y%3Dx%2B3)
7) Slope of the line that goes through the points (3,9) and (-5,3) is ![Slope=\frac{3}{4}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B3%7D%7B4%7D)
8) Slope = m=
y-intercept = b= -4
Step-by-step explanation:
6) Create table of coordinate points:
x y
-2 1
-1 2
0 3
1 4
2 5
Identify the slope:
Using formula:
![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Putting values:
![Slope=\frac{2-1}{-1-(-2)}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B2-1%7D%7B-1-%28-2%29%7D)
![Slope=\frac{1}{-1+2}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B1%7D%7B-1%2B2%7D)
![Slope=\frac{1}{1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B1%7D%7B1%7D)
![Slope=1](https://tex.z-dn.net/?f=Slope%3D1)
So, slope is 1
Identify y-intercept.
y-intercept is found when x=0, so, looking at the table when x = 0, y= 3 so, y-intercept is 3
Equation in the form: y=mx+b
here m is slope and b is y-intercept
Putting values:
![y=mx+b\\y=1x+3\\or\,\,y=x+3](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5Cy%3D1x%2B3%5C%5Cor%5C%2C%5C%2Cy%3Dx%2B3)
So, equation in slope-intercept form:
![y=x+3](https://tex.z-dn.net/?f=y%3Dx%2B3)
7) Find the slope of the line that goes through the points (3,9) and (-5,3)
Using formula:
![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Putting values:
![Slope=\frac{3-9}{-5-(3)}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B3-9%7D%7B-5-%283%29%7D)
![Slope=\frac{-6}{-5-3}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B-6%7D%7B-5-3%7D)
![Slope=\frac{-6}{-8}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B-6%7D%7B-8%7D)
![Slope=\frac{3}{4}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B3%7D%7B4%7D)
So, slope of the line that goes through the points (3,9) and (-5,3) is ![Slope=\frac{3}{4}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B3%7D%7B4%7D)
8) What is the slope and y-intercept of the following equation:
![y=\frac{2}{3}x-4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx-4)
The equation is in slope-intercept form
The general equation of slope-intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is slope and b is y-intercept
Comparing both equations we get:
Slope = m=
y-intercept = b= -4
Keywords: Equation of line using Slope
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