Algebra for Business Flashcards

Graphing Lines

• To find the X-intercept, set Y=0; for the Y-intercept, set X=0.
• After determining the intercepts, draw the line through these points.

Dividing Fractions

• When dividing one fraction by another, invert the second fraction and multiply the two fractions directly.

Constants in Equations

• A graph representing an equation with no X variable is vertical, while an equation with no Y variable is horizontal.

Slope

• Slope is defined as Rise over Run, indicating how steep a line is.

Slope Formula

• The formula for calculating slope (m) is given by: m = (y2 - y1) / (x2 - x1).

Standard Form of a Line

• The standard form of a linear equation is expressed as: ax + by = c, where a, b, and c are constants.

Slope-Intercept Form

• The slope-intercept form of a linear equation is represented as: y = mx + b, where m is the slope and b is the y-intercept.

Linear Regression

• A method used to create a line that approximates the trend or spread of a set of data points.

Point-Slope Form

• This form is illustrated as: y - y1 = m(x - x1), which is useful for writing equations of lines knowing a point and the slope.

Function Notation

• Function notation is expressed as: y = f(x), indicating y is a function of x.