Converting Standard Form

The standard form for a linear equation is

The slope intercept form is

The reason you need to know how to change standard form into slope intercept form is because

• You cannot graph standard form equations.

• You cannot plug in x and y values.

• Desmos will not allow you to type standard form equations.

• You have to solve for the x value.

Nicki was given the equation 2x - y = 5 to change to slope intercept form. Here is her first step.

Step 1: Subtract 2x from both sides of the equation.

What is her next step?

• Subtract 1

• Add -1

• Multiply 1

• Divide by -1

Are the below steps correct?

x + 5y = 20

Step 1: Subtract x from both sides of the equation

Step 2: Multiply 5 on both sides of the equation

Step 3: y = 5x + 100

• No. You do not multiply 5 on both sides. You divide the 5.

• Yes.

• No. You do not multiply 5 on both sides. You subtract the 5.

• No. You do not multiply 5 on both sides. You add the 5.

When you see this error in Desmos, what should you do?

• Convert the equation to slope intercept form

• Nothing.

• Delete the equal sign and -2.

• Add y =

In order to use Desmos you must have an equation and

• points

• a graph

• a table

• a table, graph, or points.

While converting standard form into slope intercept form, Wayne missed a step. Which step was missed?

• Nothing. This is the correct answer.

• Wayne did not divide by -2

• Wayne should not have subtracted 3x. He should have added 3x.

• Wayne should have a -2 not a +2.

Identify the error in these steps.

• The error is in step 1. You should not add 8x, you should multiply 8x.

• The error is in step 2. You should not divide by 3. You should divide by -3.

• The error is in step one. You should subtract 8x, not add.

• There is no error.

Convert x + 5y = 20 into slope intercept form.

• x + 20 = 5y

• y = 5x + 100