Slope and Linear Equations - SAT Math Part 37

TL;DR

The content explains how to find slopes and linear equations using examples of renting vehicles and phone call charges.

Transcript

number 128 the graph below shows the cost of renting a vehicle as a function of the number of mouse driven which of the following equations best describes the data represented by the graph now in order to answer this question you need to be familiar with linear equations here's a linear equation in slope intercept form y equals mx plus b m is the s... Read More

Key Insights

• 😃 Linear equations in the form y = mx + b represent lines, with m being the slope and b being the y-intercept.
• 🫥 The slope can be calculated using two points on the line or the formula (y2 - y1) / (x2 - x1).
• 😥 To find points on a line, you can use the slope to move horizontally and vertically from a given point.

Questions & Answers

Q: How can you find the slope and y-intercept of a linear equation?

To find the slope, you can use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. The y-intercept represents the value of y when x equals zero.

Q: How can you determine if a point lies on a given line?

By substituting the x and y values of the point into the equation of the line, you can check if the equation holds true. If it does, the point lies on the line.

Q: How can you determine a linear function from a table of values?

By choosing two points from the table, you can calculate the slope using the formula. Then, using the point-slope formula, you can find the linear function by substituting the slope and one point into the equation.

Q: What does it mean when a line passes through the origin?

When a line passes through the origin, it means that the y-intercept is zero. The equation of the line will not have a constant term.

Summary & Key Takeaways

• The video demonstrates how to find the equation that represents the cost of renting a vehicle based on the number of miles driven.

• It explains how to calculate slope using two points and the y-intercept.

• The content also provides examples of finding points on a line given a specific slope and identifying linear functions from a table.