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Sagot :

Answer:

Slope of perpendicular line: 5

Slope of parallel line: -1/5

Step-by-step explanation:

Convert the equation to slope-intercept form (y=mx+b where m is the slope and b is the y-intercept)

x+5y=6

subtract x on both sides

5y=-x+6

divide by 5 on both sides

y=-(1/5)x+6/5

The slope of this equation is the coefficient of x, -1/5.

The slopes of two perpendicular lines are negative reciprocals of each other.

To get the negative reciprocal of a number, flip the numerator and denominator and multiply by -1.

-1/5 becomes 5, so that's the slope of a line perpendicular to our original line.

Parallel lines have the same slope, so that's just -1/5.

Slope of perpendicular line: 5

Slope of parallel line: -1/5