Question

The equations of four lines are given. Identify which lines are parallel.

Line 1: y = -5x -5.
Line 2: 1+ y = -4
Line 3: y=-2x+4
Line 4: y + 8 = (x - 9)
O Lines 1 and 4 are parallel.
All four lines are parallel.
O
Lines 1 and 2 are parallel.
O Lines 2 and 3 are parallel.

Answer 1

Answer: None of the given lines are parallel.

Explanation:

To determine which lines are parallel, we need to examine their slopes. The slope of a line can be found by looking at the coefficient of the x-term in the equation.

Line 1 has a slope of -5, while Line 4 has a slope of 1. Since the slopes are different, Lines 1 and 4 are not parallel.

Line 2 is given in an unusual format, but we can rewrite it in slope-intercept form by subtracting 1 from both sides: y = -5. The slope of Line 2 is 0.

Line 3 has a slope of -2.

Comparing the slopes, we find that Line 2 and Line 3 have different slopes. Therefore, Lines 2 and 3 are not parallel.

In summary, none of the given lines are parallel to each other.

I hope this helps :)