SOLUTION: Patterns and functions X. Y. 1. 10 2. 16 3. 22 4. 28

Question 767207: Patterns and functions
X. Y.
1. 10
2. 16
3. 22
4. 28

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
X. Y.
1. 10
2. 16
3. 22
4. 28
take two points and find equation of a line passing through:
, and ,

Solved by pluggable solver: Find the equation of line going through points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (1, 10) and (x2, y2) = (2, 16).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(6)x + (4)

Your graph:

now do same with other two points to see if equation is same as
, and ,

Solved by pluggable solver: Find the equation of line going through points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (3, 22) and (x2, y2) = (4, 28).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(6)x + (4)

Your graph:

since equation is same, all points lie on same line; so, pattern is

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