A1 3-1 Graphing in Standard Form

5 Steps for Graphing
a Linear Equation in
Standard Form

Graphing linear equations in standard form (Ax + By = C) is a fundamental

skill in algebra. This guide will walk you through the process step-by-

step, providing clear instructions and examples to help you master this

essential mathematical technique.

Step 1: Identify the Values
of A, B, and C.

1

A: Coefficient of x

Locate the number

multiplied by x in the

equation. This is 'A'.

2

B: Coefficient of y

Find the number multiplied

by y. This is 'B'.

3

C: Constant term

Identify the number on the right side of the equation. This is 'C'.

Step 2: Determine the x-intercept

Cover up the y

Write an equation without the y term.

Solve

Solve for x to get the x-coordinate of the intercept.

Step 3: Determine the y-intercept

1

2

Cover up the x

Write an equation without the x term.

Solve

Solve for y to get the y-coordinate of the intercept.

Step 4: Plot the Intercepts

Mark x-intercept

Plot the point (x, 0) on the x-axis.

Mark y-intercept

Plot the point (0, y) on the y-axis.

Verify Points

Double-check that both points are accurately placed on the graph.

Step 5: Draw the Line

Start at an Intercept

Begin drawing from either the x-

intercept or y-intercept point.

Connect Points

Draw a straight line through all

plotted points to complete the graph.

Example 1: Graphing in
Standard Form

1

Given Information

Equation: x + y = 4

2

Plot Intercepts

Mark points on the coordinate plane.

3

Draw Line

Connect the two points to graph the line x + y = 4.

Graphing

Graph the equation:

$$x+y=4$$

Example 2: Graphing in
Standard Form

1

Given Information

Equation: 2x - 3y = 6

2

Plot Intercepts

Mark points on the coordinate plane.

3

Draw Line

Connect the two points to graph the line 2x - 3y = 6.

Graphing

Graph the equation:

$$2x-3y=6$$

​Writing Equations in Standard Form

Math Response

Write the equation in Standard Form.

$$2y=3x+5$$

Type answer here

Correct Answer: 3x-2y=-5

Deg^°

Rad