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 (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, represented as (0, b).

Front

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

Back

The slope is 3.

Front

How do you identify the y-intercept from the equation y = -2x + 5?

Back

The y-intercept is 5, represented as the point (0, 5).

Front

Write the slope-intercept form for a line with a slope of 4 and a y-intercept of -1.

Back

y = 4x - 1.

Front

If a line has a positive slope, what does that indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases.

Front

If a line has a negative slope, what does that indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of the line represented by the equation y = -1.5x + 3?

Back

The slope is -1.5.

Front

How do you convert the equation 2y = 4x + 8 into slope-intercept form?

Back

Divide by 2: y = 2x + 4.