Question

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

Answer 1

Answer:

the equation is y = 11x - 7

B is correct option.

Step-by-step explanation:

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

Slope can be calculated by the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

using this formula, the slope is given by

$m=\frac{26-15}{3-2}\\\\m=\frac{11}{1}\\\\m=11$

The slope intercept form of line is y = mx+b

here, m = 11

hence, the equation is  y = 11x +b

Now, using the point (2,15) to find b

15=11(2)+b

15 = 22 +b

b = -7

Hence, the equation is y = 11x - 7

B is correct option.

Answer 2

Answer:

B

Step-by-step explanation:

We can solve this by finding the slope of the function that passes through the points (2,15) and (3,26). We can use the "formula" rise over run.

So we have:

(26-15)/(3-2) which gives us 11 as our slope. Now we must find the y intercept!

It is -7.

So the answer is B