Question

Determine the standard form of the equation of the line that passes through (-6,6) and (3,-2)

Answer 1

Answer:

y=(8/9)x + 4 and 2/3

Step-by-step explanation:

the slope of this line:

change in y/change in x

change in y=6-(-2)=8

change in x=-6-3=-9

change in y/change in x= 8/9

8/9 is the slope, so you plug it in for m in the standard form equation. You then use one point's x and y values to substitute for x and y in the equation, and solve for b, which is the y intercept

y=mx+b

y=(8/9)x+b

-2=(8/9)*3+b

-2=8/3+b

-4 and 2/3=b