Problem preview

A-CED.2 Warmup M1-002-A11-V01

Create equations in two or more variables, graph them, and label axes/scales appropriately.

Write a two-variable linear equation from graph features

Problem

Use the graph to determine the line's slope and \(y\)-intercept, then write its equation.

Coordinate graph of a line with y-intercept 5 and positive slope, with points 0 comma 5 and 1 comma 8 marked.

Big Picture

What this problem is really about

The graph gives the two features needed for a linear equation. We’ll read the vertical-axis crossing as the starting value, use the change in y divided by the change in x between marked points for the slope, and place both into y equals m x plus b. Checking the equation against the marked points confirms that both features were read correctly.

Answer choices

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Preview only

y = 3x - 5; slope m = 3, y-intercept b = -5

y = -3x + 5; slope m = -3, y-intercept b = 5

y = 5x + 3; slope m = 5, y-intercept b = 3

y = 3x + 5; slope m = 3, y-intercept b = 5

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Curriculum context

Course: Math I
Standard: A-CED.2
Category: Algebra
Domain: Creating Equations
Objective: Create equations in two or more variables, graph them, and label axes/scales appropriately.
Problem type: Write a two-variable linear equation from graph features