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

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)   (Show Source): You can put this solution on YOUR website!
point-slope form equation:

Put into Ax+By=C form:

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

Then use the point slope form,

.
.

Answer by Boreal(15235)   (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.

RELATED QUESTIONS
1. A line passes through (2, �1) and (8, 4). a. Write an equation for the line in... (answered by ankor@dixie-net.com)
a line passes through(2,-1)and(8,4) write an equation for the line in point-slope form... (answered by robertb)
Write the equation of the line that passes through the piont (4,-9) with the slope 1/5 in (answered by Nate,checkley71)
A line passes through (�7, �5) and (�5, 4).Write an equation for the line in point-slope... (answered by Alan3354)
20. A line passes through (7, �6) and (8, �5). a. Write an equation for the line in... (answered by solver91311)
A line passes through (�2, �10) and (9, �4). a. Write an equation for the line in... (answered by Fombitz,stanbon)
A line passes through (�9, �5) and (2, �4). a. Write an equation for the line in... (answered by TimothyLamb)
A line passes through (1,-5) and (-3,7). Write an equation for the line in point-slope... (answered by josgarithmetic,MathTherapy)