A line passes through the point (-3, 2) and has a slope of 1/3. Which of the following points also lies on this line

Question

anonymous · Answer

Ok, will you please post the points?

anonymous · Answer

(-2, 5) 
(-9, 1) 
(5, 6) 
(6, 5)

anonymous · Answer

So, to solve this, you have to figure out the equation of your line

anonymous · Answer

how?

anonymous · Answer

The equation of a line is y=mx+b, this may seem difficult, however, you have to know that m means slope and b means y intercept

anonymous · Answer

The problem gives you the slope, 1/3. So we "plug it in". So now, we have y=1/3 x+b. To solve find the value of b to complete the line equation, we are going to use the point they gave us,(-3,2).

anonymous · Answer

b=2?

anonymous · Answer

No, y=1/3x+b. 
2=-1+b, b=3. Do you follow?

anonymous · Answer

yes

anonymous · Answer

Ok, so the equation of our line is y=1/3 x+3. Now, we will "plug in the points" to try to find our answer.

anonymous · Answer

ok

anonymous · Answer

Lets start with (-2,5)
5=-2/3+3.
Is this true?