SOLUTION: Dear Math Tutor, My question is "Write an equation of the line that passes through the points (4,7) and (1,4)" And a HUGE thanks in advance for helping, you're a life saver

Algebra ->  Systems-of-equations -> SOLUTION: Dear Math Tutor, My question is "Write an equation of the line that passes through the points (4,7) and (1,4)" And a HUGE thanks in advance for helping, you're a life saver      Log On


   

Question 710751: Dear Math Tutor,
My question is "Write an equation of the line that passes through the points (4,7) and (1,4)" And a HUGE thanks in advance for helping, you're a life saver, and I really needed it.


From,
Soccerboyzel@aol.com
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (4, 7) and (x2, y2) = (1, 4).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%284-7%29%2F%281-4%29+=+1.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 1%2A4+%2Bb+=+3. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=7-1%2A4+=+3.

y=(1)x + (3)

Your graph:




so, your equation is: y=x+%2B+3