Solving Systems by Graphing

Front

What does it mean when two equations graph to the same line?

Back

It means there are infinite solutions, as every point on the line is a solution to both equations.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

Back

y = -3x + 12

Front

Back

y = 2x + 3

Front

Back

The solution is (-1, 4).

Front

Back

The solution is (4, 3).

Front

What does it mean if two lines are parallel when graphed?

Back

If two lines are parallel, it means they have the same slope and will never intersect, resulting in no solutions.

Front

What does it mean if two lines intersect at a single point?

Back

It means there is exactly one solution to the system of equations represented by those lines.

Front

How do you find the intersection point of two lines graphically?

Back

You graph both lines on the same coordinate plane and identify the point where they cross.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.