Question

Which function passes through the points (2, 15) and (3, 26)?

A) y=11x+7
B)y=11x-7
C)y=7x+11
D)y=-11x-7
E)y=7x-11

Answer 1

Which function passes through the points (2, 15) and (3, 26)?

Its B

Answer 2

Answer: The correct option is (B)
`y=11x-7.`

Step-by-step explanation: We are given to select the function that passes through the points (2, 15) and (3, 26).

Since the function passes through two points, so it must be a linear function in two variables.

That is, the graph of the function will be a straight line.

Now,

the slope of the line passing through the points (2, 15) and (3, 26) is given by

`m=(26-15)/(3-2)\\\\\\\Rightarrow m=11.`

Since the line passes through the point (2, 15), so the equation of the line will be

`y-15=m(x-2)\\\\\Rightarrow y-15=11(x-2)\\\\\Rightarrow y-15=11x-22\\\\\Rightarrow y=11x-22+15\\\\\Rightarrow y=11x-7.`

Thus, the required function is
`y=11x-7.`

Option (B) is correct.