Systems of Equations Graphing

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean to graph a system of equations?

Back

To plot the equations on the same coordinate plane to find their intersection points.

Front

What is the solution to a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

What is slope in the context of a linear equation?

Back

The measure of the steepness of a line, represented as 'm' in the slope-intercept form y=mx+b.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a line?

Back

Set x = 0 in the equation and solve for y.

Front

What does a positive slope indicate about a line?

Back

The line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

The line falls from left to right.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

3, because it is the value of y when x = 0.

Front

How do you convert the equation 15 = 6x - 3y into slope-intercept form?

Back

y = 2x - 5.