Solving Systems of Equations by 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 if a system of equations has one solution?

Back

The graphs of the equations intersect at exactly one point.

Front

What does it mean if a system of equations has no solution?

Back

The graphs of the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

The graphs of the equations are the same line, meaning they intersect at every point.

Front

How do you find the slope of a line given two points?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through (1, -19) and (-2, -7)?

Back

-4

Front

What is the y-intercept of a line?

Back

The y-coordinate where the line crosses the y-axis (x=0).

Front

Given the equation y = 3/2x + 3, what is the slope?

Back

3/2

Front

Given the equation y = 3/2x + 3, what is the y-intercept?

Back

(0, 3)