Answer:
Draw a line joining the x and y-intercepts.
Explanation:
A linear equation is an equation in which the highest power of x is 1.
For this explanation, we use the linear equation:
[tex]2x+5y=10[/tex]To graph a linear equation, we follow these steps below.
Step 1: Find the x-intercept.
This is the value of x when y=0.
When y=0
[tex]\begin{gathered} 2x+5y=10 \\ 2x+5(0)=10 \\ 2x=10 \\ x=\frac{10}{2} \\ x=5 \end{gathered}[/tex]We have the point (5,0)
Step 2: Find the y-intercept.
This is the value of y when x=0.
When x=0
[tex]\begin{gathered} 2x+5y=10 \\ 2(0)+5y=10 \\ 5y=10 \\ y=\frac{10}{5}=2 \end{gathered}[/tex]We have the point (0,2).
Step 3: Draw a line joining the two points: [(5,0) and (0,2)].
The line is shown below:
You can follow these procedures for any linear equation.
