SOLUTION: What is point-slope form of an equation of the line through the points (–3, 8) and (7, 6). Use (–3, 8) as the point for the equation.

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Question 361318: What is point-slope form of an equation of the line through the points (–3, 8) and (7, 6). Use (–3, 8) as the point for the equation.
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Use the two-point form of an equation of a line to derive an equation for the desired line:



where and are the coordinates of the given points.

Once you have made the appropriate substitutions and done the indicated arithmetic, rearrange your equation into slope-intercept () form by solving for

John

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Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
What is point-slope form of an equation of the line through the points (–3, 8) and (7, 6). Use (–3, 8) as the point for the equation.
----------------------
slope = (6-8)/(7--3) = -2/10 = -1/5
----
an Form:
8 = (-1/5)(-3)+b
---
b = 8 - 3/5
---
b = 37/5
----
Equation:
y = (-1/5)x+(37/5)
=======================
Cheers,
Stan H.

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