How do you write an equation in standard form given (-3, -3), (7,2)?
1 Answer
Jan 27, 2016
Explanation:
Just so we know what our target is:
Standard form for a linear equation is
Step 1: write the equation in slope-point form
slope:
#m=(Delta y)/(Delta x) = (2-(-3))/(7-(-3)) = 5/10 = 1/2# slope point form with slope
#m# through a point#(barx,bary)# is
#color(white)("XXX")(y-bary) = m(x-barx)#
Using the above slope and#(-3,-3)# for#(barx,bary)#
#color(white)("XXX")y+3 = 1/2(x+3)#
Step 2: convert from slope-point to standard form
#y+3=1/2(x+3)#
#rarr 2y+6 = x+3#
#rarr x-2y=3# #color(white)("XXX")# or if you want to be picky:#1x+(-2)y=3#
