Question

Which equation is in slope-intercept form and represents a line with slope through the point (0, 0)?

Answer 1

I'll just tell you and then you can find it out yourself.
y = mx + b YES y= mx +b
THAT IS THE SLOPE INTERCEPT FORM A OF A LINE!
m gives the lines slope and b gives the lines y-intercept!
So if the line passes through the origin [YOUR CASE]
Then it has a y-intercept (b) of 0
So the line should probably be like this y = mx [Because of 0 y -intercept]
Understood? :)
I hope you can get your answer now!! :D

Answer 2

We have the form
\(y=mx+b\)
We are not given a slope so we shall just leave in the variable "m".

Next we will plug in the points in the coordinates given.
\((x,y)\rightarrow(0,0)\)

\(0=m(0) + b\)
\(0=0+b\)
\(b=0\)
\(y=mx+0\rightarrow y=mx\)

Answer 3

m always is that !
Y=m.x