Solving Systems by Graphing

Front

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

Back

Write both linear equations in slope-intercept form.

Front

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

Back

The (x,y) coordinates satisfy both equations.

Front

If m=3 and b=6, what is the correct slope intercept equation?

Back

y=3x+6.

Front

What is the solution to the system of equations represented by the point (2, 3)?

Back

(2, 3) is the solution.

Front

What is the solution to the system of equations represented by the point (1, -4)?

Back

(1, -4) is the solution.

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0.

Front

How do you graph a linear equation in slope-intercept form?

Back

Start at the y-intercept and use the slope to find another point.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What does it mean for two lines to intersect in a system of equations?

Back

Intersecting lines have one solution, which is the point of intersection.