Slope intercept form

Front

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

Back

The slope-intercept form is given by the equation 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, or 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 find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

If the slope is 2 and the y-intercept is -3, what is the equation?

Back

The equation is y = 2x - 3.

Front

What is the slope of the line represented by the equation y = 5x + 1?

Back

The slope is 5.

Front

What is the y-intercept of the line represented by the equation y = -4x + 7?

Back

The y-intercept is 7.

Front

If m = 3 and b = 2, what is the slope-intercept equation?

Back

The equation is y = 3x + 2.

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.