Practice -Linear Equations- All Forms and transformation

Front

What is the average rate of change?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value. It can be calculated as (f(b) - f(a)) / (b - a).

Front

What is a point-slope equation?

Back

A point-slope equation of a line is written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 in the equation and solving for x.

Front

What does the point (0, b) represent in a linear equation?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

Front

What does the point (a, 0) represent in a linear equation?

Back

The point (a, 0) represents the x-intercept of the line, where the line crosses the x-axis.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of the line given by the equation y - 3 = 2(x + 4)?

Back

The slope of the line is 2.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.