518,571 views
0 votes
0 votes
Given the points (-2,0)and(4,2) find the slope in y=Mx+b

User Elte Hupkes
by
2.7k points

1 Answer

28 votes
28 votes

Answer:


y = (1)/(3)x + (2)/(3)

Explanation:

To find the slope, you can use the slope formula:


(y2 - y1)/(x2 - x1)

Where (x1, y1) is one set of coordinates with (x2, y2) being the second set.

Step 1 - Plug known values in:


(2 - 0)/(4 -(-2))


\\(2)/(4 + 2)


\\(2)/(6)

This simplifies to:


\\(1)/(3)

The equation y = mx + b states that the m variable is the slope with the b value being the y-intercept, so:


y = (1)/(3)x + b

Step 2 - Plug the variables of the second equation in to calculate y intercept:


(4, 2)\\\\2 = (1)/(3)(4) + b\\2 = (4)/(3) + b

Subtract
(4)/(3) from 2:


2 - (4)/(3) = b\\(6)/(3) - (4)/(3) = b\\b = (2)/(3)

Meaning the end equation is:


y = (1)/(3)x + (2)/(3)

Hope this helps!

User Alienjazzcat
by
3.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.