Question

Y=3x-7 y=3x+1

parallel lines
perpendicular line
nether

Answer 1

The lines represented by the equations y = 3x - 7 and y = 3x + 1 are parallel because they both have the same slope of 3.

Step-by-step explanation:

The student is asking about the relationship between two given linear equations: y = 3x - 7 and y = 3x + 1. To determine whether the lines are parallel, perpendicular, or neither, one needs to consider the slope of both lines. The slope of a line represented by the equation y = mx + b is the coefficient 'm'. In both given equations, the slope is 3, meaning that the lines rise 3 units on the vertical axis (y-axis) for every increase of 1 unit on the horizontal axis (x-axis). Because both lines have the same slope, they are parallel to each other.

Answer 2

\left[y \right] = \left[ \frac{3\,x}{8}\right][y]=[​8​​3x​​] parallel lines
perpendicular line
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