67.4k views
1 vote
A line passes through the points (6​,​ -3)​ and (j,​ -4)​. If the slope of the line is 1/3 find the value of j​.

User Dcook
by
9.2k points

1 Answer

4 votes

Answer:

j = 3

Explanation:

Recall the slope formula:


m=(y_(2)-y_(1) )/(x_(2)-x_(1) )

Now, simply substitute the values from the question.


(1)/(3) =(-4+3)/(j-6)

Now, use the cross-multiplication method. (remember, when subtracting negatives, the negative becomes a positive)


1(j-6)=3(-4+3) Cross Multiplication


1(j-6)=3(-1) Simplify


j-6=-3 Distributive Property


j=3 Addition Property

Therefore, j = 3.

User Snug
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories