# Benefits to Writing Algebra Equations in Standard Form With a Tutor in Torrance

Last Updated on September 30, 2020 by A Plus In-Home Tutors

Learning how to graph linear equations is a big part of Algebra, and unfortunately, not all tests will allow your student help from a graphing calculator.

# Good news, an A Plus In Home Algebra Tutor in Torrance can teach you super simple graphing tips that will take away your linear equation headaches!

## In Algebra, slope intercept form is one way to graph linear equations, but there’s another, often easier way – convert the Algebra equation to standard form and find the x and y intercepts.

Standard form must be written as Ax + By = C, where A and B are coefficients and C is the constant.

In order to figure out how to find the x and y intercepts, let’s first review what an intercept is in Algebra: an intercept is where your line crosses an axis. The point where the line touches the x axis is called the x intercept, and the point where the line touches the y axis is called the y intercept.

Once Algebra equations are written in standard form, it’s easy to find the intercepts. To find the X intercept, let y = 0. To find the Y intercept, you let x = 0. Then, right when we find the points where the line crosses the x and y axis, we’re already able to draw a line!

Here’s an Algebra example:

4x+8y = 16

Find the x intercept

Let y = 0

4x+8(0) = 16

4x = 16

x = 4

X Intercept = (4,0)

Find the y intercept

Let x = 0

4(0)+8y = 16

8y = 16

y = 2

Y intercept = (0,2)

That’s all you need to be able to draw your graph!

So how do you convert an Algebra equation to standard form?

We need the variables x and y to be on the left, and the constant to be on the right. From there, we move terms around like we would with any Algebra equation – whatever you do to one side, make sure you do it to the other!

Say you are given the following Algebra equation:

y = -1/2x – 8

That might be a bit difficult to graph as is (slope intercept form), so make things easier. Let’s convert it to standard form.

Multiply both sides by 2 and you get 2y = -x – 16.

Then, add x to both sides to get:

x + 2y = -16.

### That’s the Algebra equation in standard form!

Let x = 0 and you get y = -8, making the y intercept (0, -8).

Let y = 0 and you get x = -16, making the x intercept (-16,0)

From there, you have two points and can immediately draw your line. Algebra problem solved!

Need more help with graphing linear equations or converting a slope intercept form equation to standard form in Torrance?

#### An expert Algebra tutor from A Plus In Home Tutors can teach you useful tricks and tips.

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*Posted in **Algebra*