What is the equation of the line passing through (93,78) and (68,44)?

1 Answer
Nov 14, 2015

Find the line in the form y=mx+b.
The slope can be found through the formula m=y2y1x2x1.
Thus, m=44786893=34161=34161

Now, find b by plugging m into y=mx+b with one of the points.

With the point (93,78): 78=(34161)93+b
Multiply: 78=3162161+b
Find a common denominator: 12558161=3162161+b
Subtract 3162161 from both sides: 9396161=b
This cannot be simplified.

Plug back into y=mx+b: y=34161x+9396161

This can also be written as y=34x+9396161