Answer :
The equation of the perpendicular line is y = 5x - 15 ⇒ not in the choices
Step-by-step explanation:
Perpendicular lines have:
- Slopes their product is -1
- If the slope of one of them is [tex]\frac{a}{b}[/tex] , then the slope of the other is [tex]\frac{-b}{a}[/tex]
- To find the slope of a perpendicular line to a given line reciprocal the slope of the given line and opposite its sign
The slope-intercept form of a linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = [tex]-\frac{1}{5}[/tex] x + 5
- Compare it with the form of the equation above
∴ m = [tex]-\frac{1}{5}[/tex]
∴ The slope of the given line is [tex]-\frac{1}{5}[/tex]
- Reciprocal it and opposite the sign to find the slope of the
perpendicular line to it
∴ The slope of the perpendicular line = 5
- Substitute m in the form of the equation by 5
∵ y = 5 x + b
- To find by substitute x and y in the equation by the coordinates
of any point on the line
∵ The perpendicular line passes through point (2 , -5)
∴ x = 2 and y = -5
∵ -5 = 5(2) + b
∴ -5 = 10 + b
- Subtract 10 from both sides
∴ -15 = b
∴ y = 5 x - 15
The equation of the perpendicular line is y = 5x - 15
Learn more:
You can learn more about the slope of a line in brainly.com/question/1979240
#LearnwithBrainly
Answer:
y = –5x + 5
Step-by-step explanation:
I think.. sorry if wrong