Question

Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)

(3.5,8.2) and (2,7.3)

Answer 1

one way is to simply use slope intercept form or point slope form

point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)

slope intercept: y=mx+b where m=slope and b=yintercept


slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)

we are given
(3.5,8.2) and (2,7.3)
slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6
slope=0.6 or 6/10

point slope
use any point
y-y1=m(x-x1)
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)


slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides
take first one

y-7.3=0.6(x-2)
y-7.3=0.6x-1.2
add 7.3 both sides
y=0.6x+6.1


equation is

POINT SLOPE FORM:
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)

SLOPE INTERCEPT FORM:
y=0.6x-6.1