Chapter 4 Equations of Linear Functions Review

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 of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

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 point-slope form of a linear equation?

Back

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you find the inverse of a function f(x)?

Back

To find the inverse, swap x and y in the equation and solve for y.

Front

What is the equation of a line that passes through the point (0, 0) with a slope of 2?

Back

The equation is y = 2x.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you write an equation for a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1).

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.