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stiv31 [10]
3 years ago
13

Explain how they are different AND the same

Mathematics
1 answer:
True [87]3 years ago
3 0

Proportional and linear functions are almost identical in form. The only difference is the addition of the “b” constant to the linear function. Indeed, a proportional relationship is just a linear relationship where b = 0, or to put it another way, where the line passes through the origin

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I need help with this math question on my study guide!
dalvyx [7]
Sadly is right.  You must have practiced this stuff in middle school
until it was coming out of your ears.  Fortunately, you have a chance
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course you ever take.

'm' is the slope of the line on the graph.

The slope is

                (the change in 'y' between any two points on the line)
divided by
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You can choose any two points on the line, and the slope is always the same.

To make it easy, look at the two points on this graph where the line crosses
the x-axis and the y-axis.

Going between these two points ...
-- the line goes up, from  y=0  to  y=4.  The change in 'y' is  4 .
-- the line goes to the right, from  x=-2  to  x=0.  The change in 'x' is  2 .

           'm' = the slope  =  (4)/(2)  =  2 .

The  "y-intercept"  is the place where the line crosses the y-axis.
On this graph, that's the point where  y=4 .

The equation of EVERY straight line on ANY graph is:

                 Y  =  (the slope) times 'x'  +  (the y-intercept) .

So the equation of THIS line on THIS graph is

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work is shown and pictured

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