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#6 2 pts Line a can be described by the equation ye x + 6. Use this information to answer questions Which of these is an equation of a line that is parallel to line a? 3 A Y == x + 10 5 y-tex+1 В y= x + 10 5 C y = wie 5 x + 10 Which of these is an equation of a line that is perpendicular to line a? 3 A y == x + 10 5 3 B y === x + 10 5 C y = -x + 10

Answer :

Parallel lines have the same slope

The form of the equation is y = m x + b

m is the slope

The given equation is

[tex]y=\frac{3}{5}x+6[/tex]

its slope = 3/5

The equation of the parallel line must have the same slope

So the answer is

[tex]y=\frac{3}{5}x+10[/tex]

Answer A

The product of the slopes of the perpendicular lines is -1

So if the slope of one of them is m, then the slope of the other is -1/m

we reciprocal the number and change the sign

since the slope of the line is 3/5

Reciprocal it to be 5/3 and change its sign, then

The slope of the perpendicular line is

[tex]-\frac{5}{3}[/tex]

So the equation of the perpendicular line is

[tex]y=-\frac{5}{3}x+10[/tex]

Answer C

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