SOLUTION: a line Passes through (2,-1) and (8,4) A:write an equation for the line in piont-solpe form. B:rewrite the equation in standard form using integers

Algebra ->  Linear-equations -> SOLUTION: a line Passes through (2,-1) and (8,4) A:write an equation for the line in piont-solpe form. B:rewrite the equation in standard form using integers       Log On


   

Question 1097325: a line Passes through (2,-1) and (8,4) A:write an equation for the line in piont-solpe form. B:rewrite the equation in standard form using integers

Found 3 solutions by josgarithmetic, Fombitz, Boreal:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
point-slope form equation: y-%28-1%29=%285%2F6%29%28x-2%29

Put into Ax+By=C form:
y%2B1=%285%2F6%29%28x-2%29
6y%2B6=5%28x-2%29
6y%2B6=5x-10
5x-6y=6%2B10
5x-6y=16--------standard form

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope,

Then use the point slope form,
+y-4=%285%2F6%29%28x-8%29+
.
.
6y-24=5x-40
+5x-6y=16+

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
slope is change in y/change in x
4-(-1)/*8-2)=5/6
point-slope form is y-y1=m(x-x1) m slope and (x1, y1) point
y+1=(5/6)(x-2)
y=(5/6)x-5/3-1
y=(5/6)x-8/3
multiply all by 6 to remove fractions
6y=5x-16
rewrite with positive x coefficient
5x-6y=16
both points fit.