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Select two equations of lines that are perpendicular to the line whose equation is x + 5y = 50. I need help please.

User Schoetbi
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Answer:


y = 5x + 1 and
y = 5x + 2 are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Explanation:

Equation of a line:

The equation of a line has the following format:


y = mx + b

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

The equation of the line is:


x + 5y = 50

Placing in the standard format:


5y = -x + 50


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

The slope is
-(1)/(5)

Slope of the perpendicular lines:


-(m)/(5) = -1


m = 5

So


y = 5x + b

Attributing two values to b:


y = 5x + 1 and
y = 5x + 2 are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

User Kakajan
by
7.9k points

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