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 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

If a line has a slope of 4, what does this indicate about the line's direction?

Back

A slope of 4 indicates that the line rises 4 units vertically for every 1 unit it moves horizontally, meaning it is a positive slope.

Front

What is the slope of the line represented by the equation y = 2x - 3?

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = -5x + 7?

Back

The y-intercept of the line is 7.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

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 the slope of a line is negative, what does this indicate about the line's direction?

Back

A negative slope indicates that the line falls as it moves from left to right.