# I can't understand this linear equation at all

• xilc
In summary: Also can you see other points that might be on the line say pick x=2 then what is y?...It might help to put the original equation for the line into standard form,y = ax + bFrom this, you are able to determine the slope, a,and the y-intercept, b You can also generate points and plot the line.It might help to put the original equation for the line into standard form,y = ax + bFrom this, you are able to determine the slope, a,and the y-intercept, b You can also generate points and plot the line.It might help to put the original equation
xilc

## Homework Statement

Alright...

3x - 6y = 0, Graph the linear equation, finding it's intercepts.

## Homework Equations

I've tried solving it by putting 0 in for x / y, and I've also tried putting -2 in for x / y, so that y = 2 when I move it over, and the system for my college homework tells me it's wrong either way. I simply don't get it.

## The Attempt at a Solution

Quite obviously, if I try to solve it, I get 0,0. However, I have no idea how to get any other problem solution at all... If I put 0 in for x or y to simply get one variable, it ends up being y = 0, or x = 0... But it's telling me I have to graph multiple points. How would I do this?

you have the equation of a line going thru the origin 0,0 so now can you see what the slope of the line is?

Also can you see other points that might be on the line say pick x=2 then what is y?...

It might help to put the original equation for the line into standard form,

y = ax + b

From this, you are able to determine the slope, a,and the y-intercept, b

You can also generate points and plot the line.

SteamKing said:
It might help to put the original equation for the line into standard form,

y = ax + b

From this, you are able to determine the slope, a,and the y-intercept, b

You can also generate points and plot the line.

y = mx + b is slope intercept...

Ax + By = C is standard form, and it's in standard form already...

xilc said:

y = mx + b is slope intercept...

Ax + By = C is standard form, and it's in standard form already...

Just convert your equation to intercept form. Using that you can graph by just knowing two points. Intercept form is x/a + y/b=1

xilc said:

## Homework Statement

Alright...

3x - 6y = 0, Graph the linear equation, finding it's intercepts.

## Homework Equations

I've tried solving it by putting 0 in for x / y,
So the line goes through the point (0, 0) (and give both x and y intercepts)

and I've also tried putting -2 in for x / y, so that y = 2
When you put -2 for x, you get -6- 6y= 0

when I move it over,
You get 6y= -6. That does NOT give y= 2. Try again.

and the system for my college homework tells me it's wrong either way. I simply don't get it.

## The Attempt at a Solution

Quite obviously, if I try to solve it, I get 0,0. However, I have no idea how to get any other problem solution at all... If I put 0 in for x or y to simply get one variable, it ends up being y = 0, or x = 0... But it's telling me I have to graph multiple points. How would I do this?
Well, yes, a line is determined by two points. One of those points is (0, 0). To get another point put in any value of x you like. x= -2 works fine but you have to solve the equation for y correctly!

## 1. What is a linear equation?

A linear equation is a mathematical equation that involves only one variable, which is typically represented by the letter "x". It has the form y = mx + b, where m is the slope and b is the y-intercept. It represents a straight line when graphed.

## 2. How do you solve a linear equation?

To solve a linear equation, you need to isolate the variable on one side of the equation by using inverse operations. This means that you perform the opposite operation to both sides of the equation until the variable is alone on one side. The resulting value of the variable is the solution to the equation.

## 3. What is the point-slope form of a linear equation?

The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. This form is useful when you know a point on the line and the slope, and you want to write an equation for the line.

## 4. What is the slope-intercept form of a linear equation?

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. This form is useful when you know the slope and y-intercept of a line, and you want to write an equation for the line.

## 5. How can I check my solution to a linear equation?

You can check your solution to a linear equation by plugging the value of the variable back into the original equation and simplifying. If the resulting value on both sides of the equation is equal, then your solution is correct. You can also graph the equation and see if the point representing your solution lies on the line.

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