Graphing Slope Intercept Form

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 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 is the point where the line crosses the y-axis, represented as (0, b).

Front

How do you identify the slope from the equation y = -2x + 3?

Back

The slope is -2, which indicates the line descends as it moves from left to right.

Front

How do you identify the y-intercept from the equation y = -2x + 3?

Back

The y-intercept is 3, meaning the line crosses the y-axis at the point (0, 3).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 1, what does this indicate about the line?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle.

Front

How do you convert the equation y = 1/2x + 10 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is 1/2 and the y-intercept is 10.

Front

What is the y-intercept of the equation y = -4x - 5?

Back

The y-intercept is -5, meaning the line crosses the y-axis at (0, -5).