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 from two points (x1, y1) and (x2, y2)?

Back

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

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, meaning there is no change in y as x changes.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Front

Write the slope-intercept form of a line with a slope of 2 and a y-intercept of -3.

Back

y = 2x - 3

Front

Convert the equation y = -4x + 1 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = -4x + 1.

Front

What is the slope of the line represented by the equation y = 1/2x + 3?

Back

The slope of the line is 1/2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept of the line is 4.