169k views
3 votes
Find the slope
X: 1, 5, 9, 13
Y: 1, 17, 33, 49

1 Answer

5 votes

Answer:

Explanation:

Givens

Take any two points (9,33) and (5,17)

Use the slope formula to determine what the slope might be

m = (y2 - y1)/(x2 - x1)

y2 = 33

y1 = 17

x2 = 9

x1 = 5

Solution

m = (33 -17) / (9 - 5)

m = 16/4

m = 4

Extra

Use 5,17 to get the y intercept

x = 5

y = 17

y = 4x + b

x = 5

y = 17

Use the general equation for a line: y = 4x + b and solve for b

17 = 4*5 + b

17 = 20 + b

b = - 3

So the line equation is y = 4x - 3

I did this extra work because I did not believe that 1,1 could be a solution for this equation given the other numbers. Turns out I was wrong. y = 4x - 3 has all 4 points on the line.

User Gemita
by
8.0k 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