Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Your variables will be x and y, since x and y are the variables in the coordinate plane. The equation for a line is y=mx+b, so just plug in values for m and b, and you will have the equation of a line with two variables. For the equation of a line with one variable, simply use x or y and assign a value. For example:

y=mx+b
Plug in any old thing for m and b:
y=3x+5

Now plot it:

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation describes a sloping line. For any equation ax+by+c = 0, slope is . X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 5/-3 = -1.66666666666667. Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 5/1 = 5. Slope is --3/1 = 3. Equation in slope-intercept form: y=3*x+5.

Now take x or y (we will do both for examples):
y
and assign a value
y=4

Now plot it:

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

This equation defines a horizontal line. There is no X intercept. Y intercept is

Now take x
x
and assign a value
x=2

Now plot it:

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

this equation defines a vertical line. X intercept: 2. X intercept is the intersection of the line with the x axis. Y intercept: not defined (the line IS vertical) Slope: not defined, can be thought of as infinite

That's all there is to it.