Question

Tell whether the lines for each pair of equations mare parallel, perpendicular, or neither.

y= -2x+4

-5x+10y=5

Answer 1

Perpendicular

Answer 2

thank you

Answer 3

[AI-generated answer — Explain Bot]

To determine if two lines are parallel, perpendicular, or neither, we need to compare their slopes.

The given equations are:

1) y = -2x + 4
2) -5x + 10y = 5

The first equation is already in slope-intercept form (y = mx + b) where the coefficient of x (-2) represents the slope of the line. In this case, the slope is -2.

To get the second equation in slope-intercept form, we can solve for y:

-5x + 10y = 5
10y = 5x + 5
y = (5/10)x + (5/10)
y = (1/2)x + 1/2

Comparing the slopes of the two equations, we have:
1st equation slope: -2
2nd equation slope: 1/2

Since the slopes are not the same, the lines are neither parallel nor perpendicular.