Which function passes through the points (2, 15) and (3, 26)? a. y=11x+7b)y=11x-7c)y=7x+11d)y=-11x-7 e)y=7x-11

There are two methods to solving this question:

Method 1: Find the equation of the line

Firstly you should calculate the slope, so m = (y2-y1)/(x2-x1)
m = (26-15)/(3-2) = 11

Now use the formula y - y1 = m(x - x1) and either point, let's say (2, 15)
y - 15 = 11(x - 2)
y = 11x - 22 + 15
y = 11x - 7, therefor B is the correct answer

Method 2: substitute the x-values for both points into each equation until you find one where the y-values match those of the points given

A: y = 11x + 7
If x = 2: y = 11*2 + 7 = 29
29 is not equal to 15 therefor A is not the correct answer

B: y = 11x - 7
If x = 2: y = 11*2 - 7 = 15 (this is the same as the point so move on)
If x = 3: y = 11*3 - 7 = 26
This is also right therefor B is the correct answer

In some cases method 2 will be quicker, in some method 1, so really it is a matter of preference