Question

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

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

$m=\dfrac{26-15}{3-2}\\\\\\\Rightarrow m=11.$

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.