Graphing Linear Equations

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the y-intercept of the equation y = 2x + 5?

Back

The y-intercept is (0, 5).

Front

What is the y-intercept of the equation y = -4x + 1?

Back

The y-intercept is (0, 1).

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What is the graphical representation of the equation y = -x + 3?

Back

The graph is a straight line that crosses the y-axis at (0, 3) and has a slope of -1.

Front

Identify the slope in the equation y = 3x - 2.

Back

The slope is 3.

Front

What is the y-intercept of the equation y = 0.5x - 1?

Back

The y-intercept is (0, -1).

Front

How do you graph the equation y = -2x + 4?

Back

Start at the y-intercept (0, 4), then use the slope -2 to find another point by going down 2 units and right 1 unit.