top of page
  • Writer's pictureMerry Havens

Solving Linear Equations

Linear equations come in many forms. Easy conversion between the different forms can come in very useful for solving linear equations and graphing.

Slope Intercept form: y = mx + b where m is the slope and b is the y-intercept

most useful for graphing, i.e. y = 3 x +4....plot the

y-intercept first (0, 4) and then use the slope to

plot the next point (3 is the slope...always think of

it as a fraction...3/, go up 3 from 0,4, then over 1

Now you have 2 points (0,4) and (1,7), make a line!

Standard form: Ax + By = C where A, B and C are whole numbers. If you wanted to

convert Standard Form to Slope Intercept Form, you

have to get y by itself on the left side. For example:

3 x + 6 y = 12 ...first subtract 3x from both sides (to

"move" it to the right side: 3x - 3x + 6 y = - 3 x + 12

simplify: 6 y = -3 x + 12 . . . we're getting closer. To

get y by itself, we have to divide (BOTH SIDES) by 6:

6y/6 = - 3 x/6 + 12/6 simplifies to y = -1/2 x + 2

Where the y-intercept is clear (2) and the slope is -1/2

1 view0 comments

Recent Posts

See All

Solving 2 variable equations

There are basically 2 types of 2-variable equations you will be asked to solve. The first type is asking, what is y when x is _____? For example, for the linear equation y = 3x + 4....what is y whe

Solving single variable problems (basic algebra)

A single variable equation looks something like this: 3 x + 4 = 2x + 12 or this: x^2 = 144 Here are some foundations you need: 1. know orders of operations (GEMS or PEMDAS). That means, you

What to consider when choosing a tutor for your child

If you think getting a qualified, effective tutor for your child will require an expensive and inflexible contract, read this! Busting myth #1: Tutoring is only for wealthy families - NOT I can offer


bottom of page