SOLUTION: i don't understand how to graph this equation y=10+2(x-4)

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Question 652705: i don't understand how to graph this equation y=10+2(x-4)
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier.

Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results.

Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x,y).

Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right or left along the horizontal axis and the y value is the distance up or down along the vertical axis.

Step 5. Repeat steps 1 through 4 with a different value for x.

Step 6. Draw a line across your graph that passes through the two points that you plotted.

John

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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+y=10%2B2%28x-4%29....first multiply 2%28x-4%29
+y=10%2B2x-8
+y=2x%2B10-8
+y=2x%2B2....you have a linear function and the graph will be a line
since a line is defined with two points, you need to find two points
easiest way is to find x-intercept and y-intercept

to find x-intercept set y=0 and sole for x:
0=2x%2B2
-2=2x
-2%2F2=x
highlight%28x=-1%29
so, x-intercept is at (-1,0)

to find y-intercept set x=0 and sole for y:
y=2x%2B2
y=2%2A0%2B2
highlight%28y=2%29
so, y-intercept is at (0,2)
now plot your points on Cartesian coordinate system and draw a line through:

+graph%28+600%2C+600%2C+-6%2C+5%2C+-10%2C+10%2C+2x%2B2%29+