McGraw Hill Glencoe Algebra 1, 2017
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McGraw Hill Glencoe Algebra 1, 2017 View details
Extend: Graphing Technology Lab, Graphing Linear Functions
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Exercise 1 Page 158

To sketch the graph you need two points.

Graphing Calculator:

Sketch:

Coordinate plane with the graph of line y=x+5.
Practice makes perfect

We are asked to graph the given function on our calculator. To graph the function we press Y= and then we write the equation in one of the rows.

Next, by pressing GRAPH the calculator will plot the equation.

We are now going to sketch this graph. To do that we need two points through which the graph passes. Let's pick two arbitrary x-values, and use the function rule to calculate the corresponding y-values.

x y=x+5 y (x,y)
0 y= 0+5 5 ( 0, 5)
1 y= 1+5 6 ( 1, 6)

Let's plot our two points in a diagram.

Coordinate plane with the points (0,5) and (1,6) marked.

Next, we draw a line through the two points using a ruler and a pencil.

Coordinate plane with the graph of y=x+5, with the points (0,5) and (1,6) marked, and a ruler illustrating how the graph was drawn.

We now have a sketch of the graph.

Diagram with the graph of y=x+5, with the points (0,5) and (1,6) marked, and a ruler illustrating how the graph was drawn.