Answer: Draw a straight line through (0, 16) and (1, 14)
The graph is below.
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Step-by-step explanation:
There are at least two approaches we can take
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Method 1
Plug in x = 0 to find that....
y = -2x+16
y = -2(0)+16
y = 16
The point (x,y) = (0,16) is on the line. This is the y intercept
Repeat similar steps for x = 1
y = -2x+16
y = -2(1)+16
y = 14
The point (1, 14) is also on the line
Plot the points (0, 16) and (1, 14). Then draw a straight line through them to complete the graph for y = -2x+16
You only need 2 points at minimum to draw a linear graph.
The graph is shown below. Ignore the stuff in red.
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Method 2
Compare y = -2x+16 to the form y = mx+b
- m = -2 = slope
- b = 16 = y intercept
The y intercept is where the graph crosses the y axis. In this case, it's at the location (0, 16)
Start at this point and move down 2 units and to the right 1 unit to arrive at (1, 14) which is another point on the line.
The stuff in red shows this motion of "down 2, right 1"
note that slope = -2 = -2/1 = rise/run
rise/run = -2/1
rise = -2 = go down 2
run = 1 = go to the right 1
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Side note: You can use a graphing tool like Desmos or GeoGebra to graph quickly. I used GeoGebra to make the diagram below. Though it's handy to have practice to do it by hand.