Question

How do I do linear equations graphically?

Answer 1

Draw a line joining the x and y-intercepts.

Step-by-step explanation:

A linear equation is an equation in which the highest power of x is 1.

For this explanation, we use the linear equation:

`2x+5y=10`

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

`\begin{gathered} 2x+5y=10 \\ 2x+5(0)=10 \\ 2x=10 \\ x=(10)/(2) \\ x=5 \end{gathered}`

We have the point (5,0)

Step 2: Find the y-intercept.

This is the value of y when x=0.

When x=0

`\begin{gathered} 2x+5y=10 \\ 2(0)+5y=10 \\ 5y=10 \\ y=(10)/(5)=2 \end{gathered}`

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.