Question

A line passes through the points A(n,4) and B(6,8) and is parallel to y=2x+5. What is the value of n?

a) 2
b) 3
c) 4
d) 5

Answer 1

To find the value of n, we need to set up an equation using the given points and the slope of the parallel line. Solving for n, we find that its value is 4.

Step-by-step explanation:

To find the value of n, we need to determine the equation of the line passing through points A(n,4) and B(6,8) that is parallel to the line y=2x+5.

Since the lines are parallel, they have the same slope. The slope of the line y=2x+5 is 2.

Using the formula for slope, we have:

(y2-y1)/(x2-x1) = 2

(8-4)/(6-n) = 2

Simplifying the equation, we get:

4/(6-n) = 2

Cross-multiplying, we have:

2(6-n) = 4

12-2n = 4

Subtracting 12 from both sides, we get:

-2n = -8

Dividing by -2, we find:

n = 4

Therefore, the value of n is 4.