Equations for Linear Functions

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope indicates a vertical line, where the x-coordinates are the same for all points on the line.

Front

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

Back

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

Front

How do you write the equation of a line given a slope and a point?

Back

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

Front

What is the equation of a line that passes through (0, -5) with a slope of 2?

Back

The equation is y = 2x - 5.

Front

If f(x) = 2x - 5, what is f(-1)?

Back

f(-1) = 2(-1) - 5 = -2 - 5 = -7.

Front

What is the general form of a linear equation?

Back

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

Front

How can you determine if two lines are parallel?

Back

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

Front

What does the term 'linear function' mean?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b.