SOLUTION: Write the slope-intercept form of the equation (5,2) and (-5,6)

Algebra ->  Linear-equations -> SOLUTION: Write the slope-intercept form of the equation (5,2) and (-5,6)      Log On


   



Question 635479: Write the slope-intercept form of the equation (5,2) and (-5,6)
Found 2 solutions by lwsshak3, solver91311:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write the slope-intercept form of the equation (5,2) and (-5,6)
**
This is an equation of a straight line.
Its standard form: y=mx+b, m=slope, b=y-intercept
slope=∆y/∆x=(6-2)/(-5-5=4/-10=-4/10=-2/5
equation of line: y=-2x/5+b
solve for b using one of given points(5,2)
2=-2*5/5+b
2=-2+b
b=4
Equation:
y=-2x/5+4

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I'm going to assume you mean "Write the slope-intercept form of an equation of a line whose solution set contains the points..."

Use the two-point form:



where and are the coordinates of the given points.

Simplify to the slope-intercept form:

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism