**Using slope intercept form to graph a line worksheet :**

Worksheet on using slope intercept form to graph a line is much useful to the students who would like to practice problems on graphing linear equations.

1. Graph the line whose equation is y = (2/3)x - 1.

2. Graph the line whose equation is y = (-5/2)x + 3.

3. Ken has a weekly goal of burning 2400 calories by taking brisk walks. The equation y = -300x + 2400 represents the number of calories y Ken has left to burn after x hours of walking which burns 300 calories per hour.After how many hours of walking will Ken have 600 calories left to burn ? After how many hours will he reach his weekly goal ?

**Question 1 :**

Graph the line whose equation is y = (2/3)x - 1.

**Solution : **

**Step 1 : **

The y-intercept is b = -1. Plot the point that contains the y-intercept : (0, -1).

**Step 2 : **

The slope is m = 2/3. Use the slope to find second a point. Since the slope = rise / run, from (0, -1), count up 2 units and right 3 units.

Then, the new point is (3, 1).

**Step 3 : **

Draw a line through the points.

**Question 2 :**

Graph the line whose equation is y = (-5/2)x + 3.

**Solution : **

**Step 1 :**

The y-intercept is b = 3. Plot the point that contains the y-intercept : (0, 3).

**Step 2 : **

The slope is m = -5/2. Use the slope to find second a point. Since the slope = rise / run, from (0, 3), count down 5 units and right 2 units or up 5 units and left 2 units.

Then, the new point is (2, -1) or (-2, 8).

**Step 3 : **

Draw a line through the points.

**Question 3 :**

Ken has a weekly goal of burning 2400 calories by taking brisk walks. The equation y = -300x + 2400 represents the number of calories y Ken has left to burn after x hours of walking which burns 300 calories per hour.After how many hours of walking will Ken have 600 calories left to burn ? After how many hours will he reach his weekly goal?

**Solution : **

**Step 1 :**

** y = -300x + 2400**

The y-intercept is b = 2400. Plot the point that contains the y-intercept : (0, 2400).

**Step 2 : **

Write the slope as a fraction.

m = -300/1 = -600/2 = -900/3

Using the slope as -900/3 helps in drawing a more accurate graph.

The slope is m = -900/3. Use the slope to find second a point. Since the slope = rise / run, from (0, 2400), count down 900 units and right 3 units.

Then, the new point is (3, 1500).

**Step 3 : **

Draw a line through the points.

**Step 4 : **

To find after how many hours of walking will Ken have 600 calories left to burn,

Locate 600 calories on the y-axis. Read across and down to the x-axis.

From the graph, we can know that Ken will have 600 calories left to burn after 6 hours.

**Step 5 : **

Ken will reach his weekly goal when the number of calories left to burn is 0. Because every point on the x-axis has a y-value of 0, find the point where the line crosses the x-axis.

Ken will reach his goal after 8 hours of brisk walking.

After having gone through the stuff given above, we hope that the students would have understood "Using slope intercept form to graph a line".

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