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:
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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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