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On the graph locate the y-intercept and plot the y point.
Next, use the slope to find x, and plot it.
You can create a T-table to help find x and y
See an example below.
Finally, draw a line that connects the two points.
y = 4x + 2 5x = 7 + 5y y/3 = 4 -x
Common Core Standard: A.CED.1
Graphing Linear Equation- Algebra I
Follow these simple steps in order to find the x and y value.
Step 1. Pick values for x
Step 2. Plug in x values one at a time into the equation
Step 3. Fill in the T-table with your answer after plugging them in the linear
equation.
Step 4. Graph the x and y cordinates
Transcript
Today we are going to talk about linear equations and a t-table for that linear equation. Ok we have the linear equation 3x +2=y Three is my slope X is my input variable and Y is my output variable. This two is considered a constant. Which is a number without a variable next to it. How can I fill in this t-table? I’m going to pick a value for X so I will use one because it’s nice and simple. So I will take the one and plug it in for X. So three times one which is three plus two so which is five so my output is five. So the ordered pair if I were to graph it would be one comma five. Let’s look at the rules for making a T-table for linear equation. Pick a value for X and then you will plug these in one at a time. Solve and then fill in the table. Let’s look at another example. This time let’s plug in a two for X. So three times two is six plus two is eight. Remember when you have a coefficient next to a variable you multiply. So two plus six is eight so my Y is eight is my output. My X is increasing by one but my Y is increasing by three why because my slope is three. Now let’s plug in a negative number. Let’s plug in a negative two. Three times negative two is negative six and negative six plus two, different signs subtract take the sign of the greater one which is six so the output is negative four. So that ordered pair would be negative two comma negative four.
How to graph a linear equation
The left column will contain the x-values that you choose
The right column will contain the corresponding y-values that you will compute.
3x+ 2 =y
X
0
1
2
Y
2
5
8
Graph your cordinates
How to graph a linear equation
Graphing a linear equation using a T-Table
Making T-Tables
Follow these steps in order to graph a linear equation
Graph the linear equation 3x + 2 =y
The left column will contain the x-values that you choose
The right column will contain the corresponding y-values that you will compute.
X
0
2
4
6
Y
3
2
1
0
Graph your cordinates
y = -1/2 +3
Graph the linear equation y = -1/2x +3
Step 1-2
Step 3
Step 4
Plotting Ordered Pairs
“An ordered pair “ are positions in the Cartesian coordinate plane.
- The first number in the ordered pair is the x-coordinate, and the second number is the y-coordinate.
- When graphing an ordered pair, start with the first number, and move horizontally to the right or left depending on if the number is positive or negative.
- You repeat this for the second number but you move vertically up or down.
How to solve linear equations by graphing
You can solve systems of equations by graphing the two lines and finding the point where the two lines intersect.
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Green line
When these two equations are graphed on the same coordinate system they cross at (1,5) which would be the solution to the system of equations.
Video tutorial: Solving linear equations by graphing
What is a linear equation? A linear equation is an equation of a straight line. Each of the following equations are examples of a linear equation.