Substitution Method in Algebra

An equation that forms a curve when graphed

An equation that forms a straight line when graphed

An equation with no variables

An equation that forms a circle when graphed

The point where the line intersects the x-axis

All the points that do not fall on the line

The point where the line intersects the y-axis

All the points that fall on the line

A single linear equation

Two or more linear equations

A quadratic equation

An equation with no solution

The point where the two lines are perpendicular

The point where the two lines intersect

The point where the two lines are parallel

The point where the two lines are tangent

The graph is always easy to interpret

The intersection point is always an integer

The equations are always in slope-intercept form

The equations might not be in a graph-friendly format

y = b + mx

x = my + b

x = b + my

y = mx + b

To find the slope of the line

To reduce to one equation with one variable

To eliminate all variables

To graph the equations

Solve for y

Eliminate all variables

Find a variable with a coefficient of 1 or -1

Graph the equations

It makes the graph easier to draw

It simplifies the substitution process

It eliminates the need for algebra

It ensures the solution is an integer

You cannot solve the equation

You must graph the equation

The solution is always zero

You may have to deal with fractions