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Graphing Linear Equations

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Graphing Linear Equations

Unit 5.08

I can graph linear equations in slope-intercept form.

I can also identify and interpret the unit rate and starting point from a graph!

Unit Rate

Constant Rate of Change

Change in y

Change in x

Rise

Run

SLOPE!

Slope:The“rise over run”, describes the steepness of a line. In mathematics, we use the variable m to represent slope.

Starting Point

Y-Intercept!

Slope:The“Rise over Run”, describes the steepness of a line. In mathematics, we use the variable m to represent slope.

Y-Intercept:Where the graph of a line crosses the y-axis. In mathematics, we use the variable b to represent the y-intercept.

Slope Intercept Form:A linear equation written in the form y = mx + b.

dd

* The slope (or unit rate) of the line is m.

* The y-intercept (or starting point) is b.

Example: In the equation y = ½x + 3, the slope is½and the y-intercept is3.

Let’s graph this equation!

1)

y = mx + b

Step 1: If we know that the y-intercept (starting point) is 3, then we can plot the point (0, 3) on the graph.

Step 2: From that point, we count the “rise over run” (unit rate) of the slope to find other points on the line.

Step 3: Connect the dots.

2)

y = mx + b

Step 1: If we know that the y-intercept (starting point) is -5, then we can plot the point (0, -5) on the graph.

Step 2: From that point, we count the “rise over run” (unit rate) of the slope to find other points on the line.

Step 3: Connect the dots.

3)

y = mx + b

Step 1: If we know that the y-intercept (starting point) is 0, then we can plot the point (0, 0) on the origin of the graph.

Step 2: From that point, we count the “rise over run” (unit rate) of the slope to find other points on the line.

Step 3: Connect the dots.

The examples so far have

all had positive slope.

What would the graph of

a line with negative slope

look like?

4)

y = mx + b

Step 1: If we know that the y-intercept (starting point) is 2, then we can plot the point (0, 2) on the graph.

Step 3: Connect the dots.

5)

y = mx + b

Step 1: If we know that the y-intercept (starting point) is 6, then we can plot the point (0, 6) on the graph.

Step 3: Connect the dots.

6)

7)

Homework Time!

5.08 Graphing Linear Equations WS

I can graph linear equations in slope-intercept form.

I can also identify and interpret the unit rate and starting point from a graph!