Linear Equations from Graphs

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Objective

I can determine the equation of a line that represents a real life problem from its graph.

Part 1 of 4

Warm-up video

MooMooMath and Science · 3:13

We don't generate video — this one is by MooMooMath and Science on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    To write a linear equation, you need to know the slope (m) and the y-intercept (b); slope-intercept form is written as y = mx + b.

  2. 2

    The slope (m) represents the cost per game, while the y-intercept (b) represents the initial cost, such as the cost for shoe rentals.

  3. 3

    To calculate the cost for a specific number of games, substitute the number of games for x in the equation; to determine how many games can be played with a certain amount, substitute the total amount for y and solve for x.

Part 3 of 4

Practice

11 questions

1

What two pieces of information are needed to write a linear equation?

2

In the bowling example, what does the slope represent?

Part 4 of 4

Exit ticket

Quick comprehension check

The graph of a line representing the cost of movie tickets for a family shows the y-intercept at $20 and the line passes through the point (4, 60). If x represents the number of tickets and y represents the total cost, determine the equation of the line in slope-intercept form (y = mx + b).

Sample answer included in the free materials

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