Question

A triangle has one side that lies along the line

y = 3x - 1 and another that lies along the line
y = -2x. Which of the following,poihts could
be a vertex of the triangle?

Answer 1

Answer: (1/5, -2/5)

Explanation:

To find the possible vertices of the triangle formed by the given lines, we need to find the intersection points of the two lines.

The two lines are:

1. y = 3x - 1

2. y = -2x

To find the intersection points, set the two equations equal to each other:

3x - 1 = -2x

Now, solve for x:

3x + 2x = 1

5x = 1

x = 1/5

Now that we have the value of x, we can find the corresponding y-value by substituting x back into either of the original equations. Let's use the first equation:

y = 3(1/5) - 1

y = 3/5 - 1

y = -2/5

So, the intersection point of the two lines is (1/5, -2/5).