y=mx+b from Tables

Front

What is the slope (m) 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

Write a linear equation in the form of y=mx+b for a slope of 2 and a y-intercept of -1.

Back

y = 2x - 1

Front

Write a linear equation in the form of y=mx+b for a slope of -3 and a y-intercept of 4.

Back

y = -3x + 4

Front

If the slope of a line is 0, what does this 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 the slope of a line is undefined, what does this indicate about the line?

Back

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

Front

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

Back

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

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

Convert the equation y = 3x + 2 into standard form.

Back

3x - y + 2 = 0.

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).