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

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, corresponding to the value of y when x = 0.

Front

How do you find the y-intercept from the equation y = 4x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

What is the y-intercept of the equation y = -2x + 1?

Back

The y-intercept is 1.

Front

If the slope of a line is 3, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 3 units.

Front

How do you graph the equation y = 2x - 1?

Back

Start at the y-intercept (0, -1), then use the slope (2) to rise 2 units and run 1 unit to the right.

Front

What is the slope of the line represented by the equation y = -x + 4?

Back

The slope is -1.

Front

Which graph represents the equation y = 3x - 4?

Back

Graph B represents the equation y = 3x - 4.

Front

What is the y-intercept of the equation y = 2x - 3?

Back

The y-intercept is -3.