Question

These lines are perpendicular. Is this statement true or false?

2y - x + 4 = 0
5y = -x - 3
a) true
b) false

Answer 1

The statement that the lines are perpendicular is false.

Step-by-step explanation:

The statement that the lines are perpendicular is false.

To determine if two lines are perpendicular, we need to compare their slopes. The given equations are:

2y - x + 4 = 0 ......(1)

5y = -x - 3 ......(2)

We can rewrite equation (1) in slope-intercept form:

y = (1/2)x - 2

And equation (2) in slope-intercept form:

y = (-1/5)x - (3/5)

The slopes of the two lines are not negative reciprocals of each other, which means they are not perpendicular. Therefore, the statement is false.