SOLUTION: I am having problems understanding this problem i have to express the equation in a slope-intercept form its (-6,-2) m= 5/2 please help me! i'd apreciate it thank you =)

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Question 63504: I am having problems understanding
this problem
i have to express the equation in a slope-intercept form
its
(-6,-2) m= 5/2
please help me! i'd apreciate it
thank you =)

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
I am having problems understanding 
this problem
i have to express the equation in a slope-intercept form
its
(-6,-2) m= 5/2 
please help me! i'd apreciate it 

Since 5/2 can be written as the decimal 2.5, let's
use that for m instead.

You need the point-slope form for the equation of
a line through the point (x1, y1) with slope m.

y - y1 = m(x - x1)

where (x1, y1) = (-6. -2) and m = 2.5

y - (-2) = 2.5(x - (-6) )

Now simplify and solve for y:

y + 2 = 2.5(x + 6)

y + 2 = 2.5x + 15

    y = 2.5x + 13

That is the slope intercept form,
normally written

    y = mx + b

because m = 2.5 is the slope and
(0, 13) is the y-intercept.

The graph of the answer

    y = 2.5x + 13

looks like this:

Notice that it goes UP 2.5 times as fast as goes
OUT to the right.  That's the significance of
the slope 2.5 in the equation

    y = 2.5x + 13

Notice also that it crosses
the y-axis at 13. That's the significance of
the 13 in the equation

    y = 2.5x + 13

Edwin


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