Solve Systems by Graphing Practice

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 solve a system of equations by graphing?

Back

It means to graph each equation on the same coordinate plane and identify the point(s) where they intersect.

Front

What is the solution to a system of equations?

Back

The point(s) where the graphs of the equations intersect, representing the values of the variables that satisfy all equations.

Front

How do you find the y-intercept of a linear equation?

Back

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

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

What does the slope of a line represent?

Back

The rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Front

How do you determine if two lines are perpendicular?

Back

If the product of their slopes is -1.

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

What is the slope of the line represented by the equation y = -x + 4?

Back

-1, because it is the coefficient of x.