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 the equation y = mx + b?

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 the equation y = mx + b?

Back

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

Front

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

Back

Set x = 0. The y-intercept is 5.

Front

How do you determine if a slope is positive or negative?

Back

If the slope (m) is greater than 0, it is positive; if less than 0, it is negative.

Front

What is the slope of the line represented by the equation y = 4x + 2?

Back

The slope is 4.

Front

What is the equation of a line with a slope of -3 and a y-intercept of 1?

Back

y = -3x + 1.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the slope of the line represented by the equation y = -4x - 5?

Back

The slope is -4.

Front

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

Back

The y-intercept is -2.