Explain the basic method(steps) for graphing a linear equation. Can you give an example of a linear equation and show me how to graph the equation?

Answer 1

5 x + 3 y = 15

first look at what happens when x = 0

3 y = 15
y = 5

Mark that point on your graph where x = 0 and y = 5
(0,5) Your y axis intercept
that is five units above the origin

Now what happens when y = 0?
5 x = 15
x = 3
So when y = 0 , x = 3
Mark that point on your graph
(3,0) Your x axis intercept
That is three units to the right of the origin

Now draw a straight line through those two points and you are finished.

You could have chosen any old values for x or y, but choosing zero makes it easy.
Your y axis intercept is when x = 0 and your x axis intercept is when y = 0