SOLUTION: Graph the orderer-pair solutions of y=x+1 when x= -5,-3,0,-3, and 5.

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Question 215988This question is from textbook mathematical excursions
: Graph the orderer-pair solutions of y=x+1 when x= -5,-3,0,-3, and 5. This question is from textbook mathematical excursions

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the ordered-pair solutions of y=x+1 when x= -5,-3,0,3, and 5.

Step 1. The given equation y=x+1 where it is in slope-intercept form where m is the slope and the y-intercept b at (0,b). Here m=1 and b=1.

Step 2. Form a two-columns: one for x and the other for y

x y=x%2B1
-5 -5%2B1=-4
-3 -3%2B1=-2
0 0%2B1=1 point to evaluate slope see Step 3 where x1=0, y1=1
3 3%2B1=4
5 5%2B1=6 point to evaluate slope see Step 3 where x2=5, y2=6

Step 3. To verify given equation, y=mx+b=x+1, we have the slope is given as

m=%28y2-y1%29%2F%28x2-x1%29=%286-1%29%2F%285-0%29=5%2F5=1

Step 4. As mentioned before, the slope-intercept point is given as y=mx%2Bb where m is the slope and b is the y-intercept at point (0,1) or x=0 and y=b. In our case x=0 implies b=1.

Then our equation is

y=mx%2Bb=x%2B1 as given by the problem

The graph is shown below and note that the line passes through all the points in Step 2.

graph%28600%2C600%2C+-7%2C7%2C-7%2C7%2C+x%2B1%29

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J