Review: Writing Linear Equations

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 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

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you write the equation of a line given two points?

Back

First, calculate the slope using the two points, then use the slope and one of the points to write the equation in slope-intercept form.

Front

What is a vertical line and how is it represented?

Back

A vertical line has an undefined slope and is represented by the equation x = a, where a is the x-coordinate of any point on the line.

Front

What is a horizontal line and how is it represented?

Back

A horizontal line has a slope of 0 and is represented by the equation y = b, where b is the y-coordinate of any point on the line.

Front

Given f(0) = 6 and f(4) = -6, how do you find the linear function?

Back

Use the slope formula to find m, then use the point-slope form to write the equation.

Front

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

Back

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

Front

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

Back

Distribute and rearrange the equation to isolate y on one side.