AR-Lesson 2.1 slope and y-intercept review from table

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the y-intercept from a table of values?

Back

To find the y-intercept from a table, look for the value of y when x is 0.

Front

In the equation y = mx + b, what does 'm' represent?

Back

The 'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

What does the slope tell us about a linear relationship?

Back

The slope indicates how steep the line is and the direction of the relationship between x and y.

Front

How do you calculate 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 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 equation y = 4x + 1?

Back

The y-intercept is 1.

Front

Which equation represents a line with a slope of 3 and a y-intercept of -2?

Back

The equation is y = 3x - 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, meaning there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.