My question is about - of a line

Question

It says to write the equation in slope omtercept form then ot says - of a line that passes through the point (-9,4)m=2

 

please im studyng for a placment test

Answer 1

First of all, recall the general form of a line in the x,y plane;

 

y=Mx+B

 

where M is the slope, and B is the y-intercept.

 

It appears that they have given the slope as m=2 (or I guess I'm using a capital m) M=2. Thus the line in question can now be written:

 

y=2x+B

 

Now we have the additional information, that this line passes through the point (-9,4). This means that when x=-9, the value of the line is y=4. So we can write:

 

4=2(-9)+B

 

Now solve for B!

 

4=-18+B

 

B=22

 

We now know the value of M and B, so the line can be written

 

y=2x+22

 

Hope that helps!