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

What is the solution to the system of equations graphed by Steffen?

Back

(-3,-8)

Front

Convert the equation -3y + 5x = 12 into slope-intercept form.

Back

y = -4 + 5/3x

Front

Solve the system of equations by graphing: y = 2/3x - 2 and y = -x + 3.

Back

(3,0)

Front

What type of solution does the system of equations shown in the graph have?

Back

One Solution

Front

What is slope-intercept form?

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines are parallel when graphing a system of equations?

Back

If two lines are parallel, the system has no solutions.

Front

What does it mean if two lines intersect at a point when graphing a system of equations?

Back

If two lines intersect at a point, the system has one unique solution.

Front

What does it mean if two lines overlap when graphing a system of equations?

Back

If two lines overlap, the system has infinite solutions.