2nd Nine Weeks Study Guide

Front

Back

All Real Numbers

Front

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3.

Back

y - 5 = -3(x - 10)

Front

Write the equation in point-slope form for the line that contains the points (-2, -3) and (4, 3).

Back

y + 3 = 1(x + 2)

Front

Solve the equation: 3|−8x| + 8 = 80.

Back

{−3, 3}

Front

Solve the equation: |−4 + 5x| = 16.

Back

{−12/5, 4}

Front

What is the definition of the domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is Point-Slope form of a linear equation?

Back

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

Front

How do you solve an absolute value equation?

Back

Set the expression inside the absolute value equal to both the positive and negative values of the other side of the equation.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

What does it mean if a function has a domain of all real numbers?

Back

It means that the function can accept any real number as an input.