Systems of Equation Graphing

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

What is the first step in solving a system of equations by graphing?

Back

Write both linear equations in slope-intercept form.

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

Solve the system of equations using substitution: 5x - 2y = 3 and y = 2x.

Back

(3, 6)

Front

How can you tell if a point is a solution to a system of equations?

Back

The (x,y) coordinates satisfy both equations.

Front

What is a system of equations?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Their slopes are negative reciprocals of each other.

Front

What is slope-intercept form?

Back

The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the equation y = 3x + 4?

Back

4.

Front

How do you find the x-intercept of an equation?

Back

Set y to 0 and solve for x.