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, indicating the value of y when x = 0.

Front

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

Back

The slope is 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 m = 2 and b = 5, what is the slope-intercept equation?

Back

The equation is y = 2x + 5.

Front

What type of slope does a line with a negative slope have?

Back

A line with a negative slope decreases as it moves from left to right.

Front

What type of slope does a line with a positive slope have?

Back

A line with a positive slope increases as it moves from left to right.

Front

If the equation of a line is y = -3x + 4, what is the slope?

Back

The slope is -3.