SOLUTION: can b=0 also be written as b &#8804; o? i know it would be m<0 and b=0 but can b=0 also be written as b &#8804; 0 ? here is the graph: https://www.algebra.com/cgi-bi

Algebra ->  Linear-equations -> SOLUTION: can b=0 also be written as b &#8804; o? i know it would be m<0 and b=0 but can b=0 also be written as b &#8804; 0 ? here is the graph: https://www.algebra.com/cgi-bi      Log On


   



Question 1087261: can b=0 also be written as b ≤ o?

i know it would be m<0 and b=0
but can b=0 also be written as b ≤ 0 ?
here is the graph:
https://www.algebra.com/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-x%29+

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

your graph shows a line, so you need to find the equation for that line
use slope-point formula:

y=mx%2Bb where m is a slope and b is y-intercept
to find m and b, choose two points on a graph:
since a line goes through origin, one point is (0,0)
so, plug in x=0 and y=0 in
y=mx%2Bb
0=m%2A0%2Bb=>b=0; so far equation is y=mx
a line also goes through the point (-2,2)
2=m%28-2%29
m=2%2F-2
m=-1
and your equation is:y=-x

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C-x%29+



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

can b=0 also be written as b ≤ o?

i know it would be m<0 and b=0
but can b=0 also be written as b ≤ 0 ?
here is the graph:
https://www.algebra.com/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-x%29+
The answer was already given in: Linear-equations/1087168: Linear-equations/1087168
In answer to your question, b = 0 is exactly what it IMPLIES: b is EQUAL to 0, and CANNOT be written as b ≤ 0, since
that indicates that b has values that are either EQUAL to 0, or is < 0. b has ONE and ONLY ONE value, and that's 0.