Question

17. A line passes through the points (0,5) and (3, 11). Which of the following is the value of y when this line passes through x = 10? (1) 16 (3) 21 (2) 19 (4) 25​

Answer 1

Answer:

(4) 25​

Step-by-step explanation:

First, find the slope using rise over run:

(y2 - y1) / (x2 - x1)

Plug in the points:

(11 - 5) / (3 - 0)

6 / 3

= 2

The y intercept, (0, 5), has already been given. Using the equation y = mx + b, plug in the slope and y intercept to create the equation:

y = mx + b

y = 2x + 5

Now, plug in 10 as x to find the value of y:

y = 2x + 5

y = 2(10) + 5

y = 20 + 5

y = 25

So, the correct answer is answer choice 4, 25.