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Question 77652: Hi, the following is my question I have:
The linear equation y = 6x – 5 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below).
Would the answer to this be diagonal? If I go six right on x, then go down 5?
Thanks!
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! y = 6x – 5
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Answer is "diagonal" but your reason is incorrect.
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The slope of the line is +6 and you get that from the multiplier of x. This means that if
pick a point on the graph and then go 1 unit horizontally to the right you then have to
go vertically up +6 units to get back to the graph. (The slope of +6 is +6 divided by +1 and
the +1 is the amount that you go to the right and the +6 is the amount you go up.)
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The -5 tells you the value on the y-axis where the graph crosses the y-axis.
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If you want to quickly sketch a graph of this function, put a point at -5 on the y-axis.
Then, from this point go 1 unit horizontally to the right and then go up +6 units. Mark
that point. This second point should be at (1,1). Extend a line through this point and
through the point -5 on the y-axis. That's the graph. Note that it slants up and to the
right.
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Hope this helps clarify how to interpret the graph of an equation of the form:
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y = mx + b
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This is called the slope intercept form. m is the slope and b is the point on the y-axis
where the graph crosses that axis.
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