Solving Linear Equations with Slope and y-intercept

The video tutorial explains how to write equations for lines using the slope-intercept form, focusing on word problems. It covers three examples: calculating the cost of renting a car, determining a salesman's pay with commission, and computing the cost of using a cell phone. Each example demonstrates how to identify the slope and y-intercept from the problem statement and formulate the equation in the form y = mx + b.

What is the main focus of the video?

• Understanding geometric shapes

• Writing equations for lines given slope and y-intercept

• Learning about calculus

• Solving quadratic equations

In the first word problem, what does the $40 represent?

• The slope

• The cost per mile

• The y-intercept

• The number of miles

What is the equation for the cost of renting a car in the first word problem?

• y = 0.5x + 40

• y = 40x + 0.5

• y = 0.5x - 40

• y = 40x - 0.5

In the second word problem, what does the 5% commission represent?

• The total sales

• The y-intercept

• The slope

• The basic salary

What is the equation for the salesman's pay in the second word problem?

• y = 0.05x + 350

• y = 350x - 0.05

• y = 350x + 0.05

• y = 0.05x - 350

In the third word problem, what does the 8 cents per minute represent?

• The total cost

• The basic fee

• The slope

• The y-intercept

What is the equation for the cost of using the cell phone in the third word problem?

• y = 39.50x - 0.08

• y = 0.08x - 39.50

• y = 39.50x + 0.08

• y = 0.08x + 39.50

What form should the equations be in for these word problems?

• y = a + bx

• y = ax^2 + bx + c

• y = mx + b

• y = x + b

What does 'm' represent in the equation y = mx + b?

• The dependent variable

• The independent variable

• The y-intercept

• The slope

What does 'b' represent in the equation y = mx + b?

• The independent variable

• The y-intercept

• The dependent variable

• The slope