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41 votes
41 votes
Find the slope
X: 1, 5, 9, 13
Y: 1, 17, 33, 49

User Katiann
by
2.7k points

1 Answer

8 votes
8 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 Stefan Dragnev
by
3.1k points
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