U5D5 Linear Eqn Application

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 in a linear equation?

Back

The slope (m) 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

What is the y-intercept in a linear equation?

Back

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

Front

How do you write an equation in point-slope form?

Back

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

Front

What is the formula to calculate the total cost when there is a fixed charge and a variable charge?

Back

Total Cost = Fixed Charge + (Variable Charge per unit * Number of units).

Front

If a plumber charges a fixed fee plus an hourly rate, how do you express the total cost for hours worked?

Back

Total Cost = Fixed Fee + (Hourly Rate * Hours Worked).

Front

How do you determine the equation of a line given two points?

Back

First, calculate the slope (m) using m = (y2 - y1) / (x2 - x1). Then, use one of the points and the slope to write the equation in point-slope form.

Front

What does it mean for a linear equation to be in standard form?

Back

A linear equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How can you interpret the coefficients in a linear equation?

Back

The coefficients represent the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the significance of the processing fee in a ticket pricing scenario?

Back

The processing fee is a fixed cost added to the total price of tickets, affecting the overall cost regardless of the number of tickets purchased.