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(39627)   (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!!
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
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