lugos and paschal each wrote an equation for the line that passes through (-3,2) and (6,8) lugos says the equation is y=2/3x+4 a

Question

Aliun [14]

4 years ago

15

lugos and paschal each wrote an equation for the line that passes through (-3,2) and (6,8) lugos says the equation is y=2/3x+4 a

nd paschal says the equation is 2x-3y=-12. who is correct? why do you say so?

Mathematics

1 answer:

Alexxandr [17] · Answer 1 · 2021-12-02T20:07:09+03:00

We have that
Step 1
find <span>an equation for the line that passes through A (-3,2) and B (6,8)
m=(y2-y1)/(x2-x1)=</span>(8-2)/(6+3)=6/9=2/3
y=mx+b
with point (6,8)
8=(2/3)*(6)+b-------------> 8=4+b------------> b=4
y=(2/3)x+4

the answer is
<span>Lugo's equation is the correct one</span>