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 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 is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 7 - x?

Back

The slope is -1.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -5?

Back

The equation is y = 2x - 5.

Front

Which value is the slope in the equation y = 4x + 2?

Back

The slope is 4.

Front

Which value is the y-intercept in the equation y = 2x - 2?

Back

The y-intercept is -2.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

The equation is y = 4x + 2.

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.