Question

Y= -9 + x

7x + 7y = 35​
Determine if the lines represented by the equations are parallel, perpendicular, or neither:
a) Parallel
b) Perpendicular
c) Neither

Answer 1

The lines represented by the equations y = -9 + x and 7x + 7y = 35 are perpendicular to each other.

Step-by-step explanation:

The given equations are:

1. y = -9 + x

2. 7x + 7y = 35

To determine if the lines represented by these equations are parallel, perpendicular, or neither, we need to compare their slopes.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope.

For equation 1, the slope is 1.

For equation 2, we can rewrite it as 7y = -7x + 35 and then divide by 7 to get y = -x + 5. The slope of this equation is -1.

Since the slopes of the two equations are negative reciprocals of each other (1 and -1), the lines represented by the equations are perpendicular to each other.

Therefore, the correct answer is b) Perpendicular.