SOLUTION: Write an equation in slope-intercept form for the line that passes through (3,7) and (7,4).

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Question 888036: Write an equation in slope-intercept form for the line that passes through (3,7) and (7,4).
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39628)   (Show Source): You can put this solution on YOUR website!
Write an equation in slope-intercept form for the line that passes through (h,k) and (u,v).

Slope-intercept form is y=mx+b, using m for slope and b for y-intercept.



Solving the basic equation for b,

and picking either given point, here arbitrarily choosing (h,k) you can find b:


and you might like to simplify the expression (or number) b:

, notice the additive inverses hk and -hk,


Revising the slope-intercept form generalized equation for the two given points,


Note that the process may seem less involved when using actual coordinate values; but not always. At least with this demonstration, nothing is hidden, and this is generalized.
Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!
Write an equation in slope-intercept form for the line that passes through (3,7) and (7,4).


STEP 1: Determine the slope, or m, using the slope formula, m = 

STEP 2: Use the point-slope formula: 

Note that in this case, 

 can be: 7

 can be: 4

 can be: 3

 cam be: 7

You will then have the slope-intercept form of the equation after substituting all the variables

identified above, and solving for y.

If you need a complete and detailed solution, let me know!!



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