Module 4 - Linear Equations Extra Credit

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

How do you find the slope using two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

Convert the equation y = 3x + 2 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = mx + b, where m = 3 and b = 2.

Front

What does the equation y = 15x + 100 represent in a real-life context?

Back

It represents a situation where you start with $100 and save $15 for each unit of x (e.g., each week or month).

Front

Write the equation for a factory that produces 25 cars each day and has 20 completed cars.

Back

The equation is y = 25x + 20, where y is the total number of cars and x is the number of days.

Front

If Bob saves $40 per month starting with $150, how much will he have after 7 months?

Back

Bob will have $430 after 7 months.

Front

What is the slope of the line that passes through the points (9,2) and (4,3)?

Back

The slope is -1/5.

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.