Algebra - Straight-Line Graphs Flashcards

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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?

<p>The gradient</p> Signup and view all the answers

How do you calculate the gradient of a straight line on a graph?

<p>How much the line goes up divided by how much the line goes across</p> 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 ______.

<p>c</p> Signup and view all the answers

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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).

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