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Use the points (2,1) and (4,5).
Find the slope by using the formula
Now you end up with 5-1/4-2= 4/2=2
So, your slope is 2.
Now you can graph the equation.
Put one of the two points on the graph, so
for examples lets plot (2,1).
Then use the slope 2 so go up 2 and to the
right 1.
The line goes through both the points and is a linear equation.
Example in slope intercept form: y=3x+2
The y intercept in this equation is 2.
Example in standard form:
5x+2y=10
Steps for x-intercept: To find x make y=0. Then you are left with 5x=10 So, x=2.
Steps for y-intercept: To find y-intercept make x=0. Then you are left with 2y=10. So, y=5.
Example 2)
3y= 6x+12
To solve divide each side by three to get ¨Y¨ by itself. So when you divide everything by three you get the equation y=2x+4. That is the equation you graph.
Now lets graph!
Y= 3/2x -1
info into slope intercept form. Slope
intercept form is Y=MX+B. M= the
slope and B is the Y intercept.
in this case -1, and then use the rise over run method, so you would rise 3 and
run 2
To find the x intercept you must first plug 0 in for y. Then 2x= 4 so x=2. Then do the same for x, and you would get y=2. you can now graph the line that passes through 2 on the x axis and 2 on the y axis.
Point: (3,2)
Slope: 5/3
Y Intercept: 2
To graph: Find 2 on the y-xis and plot a point. Then rise 5 and run 3 to graph your line.
An equation in slope-intercept form is y=mx+b
Examples of equations in slope-intercept form
0
Ex: 4x+3y=12
To solve this equation put zero in fo each variable. So you get 3y=12. So y=4. And then do the same for x. So 4x=12. X=3.
Examples of equations in standard form:
How to solve equations in standard form:
1. Create a table with x as zero in the first column and y as zero in the next.
2. Plug in x and y as zero to find both values.
3. 4(0)+3y=12
4.Y=4
5. 4x+3(0)=12
6. X=3
Example of solving y-intercept form:
Say you have the equation 3y=2x+15. You would divide everything by 3 to isolate y. You then get the equation y=2/3x+5 and that is the equation you graph.
The slope of this line is 2.
over 1
up 2