5.2-5.4 Review Slope, S/I, P/S, Standard Forms[LONG VERSION]

Front

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

Back

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

Front

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

Back

To convert Ax + By = C to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

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

Back

The y-intercept is 4.

Front

How do you graph the equation y - 1 = -2(x + 3)?

Back

First, rewrite in slope-intercept form: y = -2x - 5, then plot the y-intercept and use the slope to find another point.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.