Slope Intercept Form

Front

What is the slope-intercept form equation?

Back

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

Front

What is the equation in standard form?

Back

Ax + By = C

Front

What is the point-slope form equation?

Back

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

Front

How do you find the slope of a line given two points?

Back

The slope of a line given two points (x₁, y₁) and (x₂, y₂) is calculated as (y₂ - y₁) / (x₂ - x₁).

Front

What is the general form of a linear equation?

Back

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

Front

What is the slope and y-intercept in the following equation?

y = 4x + 5

Back

The slope is 4 and the y-intercept is 5.

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian coordinate plane by a straight line. It has the form f(x) = mx + b, where m and b are constants.

Front

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

Back

To convert a linear equation from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

What is the meaning of the slope in a linear equation?

Back

The slope of a linear equation represents the rate of change of the dependent variable with respect to the independent variable. It indicates the steepness and direction of the line.