Write the slope-intercept form of an equation of the line that passes through the given point and is perpendicular to the equation given (4, -5), 2x−5y=−10

tidones0r

tidones0r

Answered question

2022-09-23

Write the slope-intercept form of an equation of the line that passes through the given point and is perpendicular to the equation given (4, -5), 2x−5y=−10

Answer & Explanation

Kailey Santana

Kailey Santana

Beginner2022-09-24Added 12 answers

y = - 5 2 x + 5
2 x - 5 y = 10
5 y = 2 x - 10
y = 2 5 x - 2
So m = 2 5
For perpendicular lines: mm'=−1
So m = - 5 2
y=m'x+c
So:
- 5 = ( - 5 2 ) × 4 + c
c = - 5 + 10 = 5
So:
y = - 5 2 x + 5

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