Question

Using the slope program, create the line y = 2x. Keeping the line the same, move one (or both) of the points so the triangle created by the points has a vertical length of 10 units. What is the horizontal length? Does this horizontal length match the answer you found in the previous question?

Answer 1

5 and yes

Explanation:

Answer 2

x = 5

Explanation:

The general point slope form of the equation of a straight line is given as:

y = mx + c

where,

m = slope of the line

c = y-intercept of the line

The given equation is:

y = 2x

comparing it with general point slope equation, we get:

m = 2, c = 0

Thus, the line passes through origin and it will form a right triangle with the horizontal axis. Now, for a vertical length of 10 means y = 10. Hence, to satisfy the given equation the horizontal length of triangle (x) must be:

10 = 2x

x = 10/2

x = 5