Questions and Answers
What is the equation for a straight line on a graph?
y = mx + c
In an equation for a straight line on a graph, what two letters represent numbers?
m and c
What is c in an equation for a straight line on a graph?
The y-intercept
What is m in an equation for a straight line on a graph?
Signup and view all the answers
How do you calculate the gradient of a straight line on a graph?
Signup and view all the answers
The 4 steps for calculating the equation of a straight line on a graph are: Calculate the gradient of the line, substitute your value for m, pick one point along the line and put the values for x and y into the equation, and solve your equation to find the value of ______.
Signup and view all the answers
Study Notes
Straight-Line Graphs Overview
- The equation for a straight line is represented as y = mx + c.
Components of the Equation
- m refers to the gradient of the line, indicating its steepness.
- c represents the y-intercept, which is the point where the line intersects the y-axis.
Calculating the Gradient
- The gradient (m) can be calculated using the formula: rise over run (vertical change divided by horizontal change).
Steps to Calculate the Equation of a Straight Line
- First, calculate the gradient of the line.
- Substitute the calculated gradient value into the equation as m.
- Select a point on the line and substitute its x and y coordinates into the equation.
- Finally, solve the equation to determine the value of c (y-intercept).
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of straight-line graphs in algebra with these flashcards. Learn about the equation of a line, its slope, and y-intercept. Perfect for reinforcing your understanding of graphing concepts.