Slope and y-intercept from tables

Front

What is the y-intercept?

Back

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

Front

What does the slope represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, use the formula m = (y2 - y1) / (x2 - x1) using two points from the table.

Front

What is the formula for 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

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

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

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

How can you determine the y-intercept from a table?

Back

The y-intercept can be found by looking for the value of y when x = 0 in the table.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line goes down from left to right.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

If a line has a slope of 0, what does this mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall as x changes.