Write the equation in slope-intercept form of the line that is perpendicular to y=5x+6 but goes through the point (-5,-3)

experimediaisF

experimediaisF

Answered question

2022-11-27

Write the equation in slope-intercept form of the line that is perpendicular to y=5x+6 but goes through the point (-5,-3)

Answer & Explanation

TempestazP6

TempestazP6

Beginner2022-11-28Added 6 answers

Given a line with slope, m, any line perpendicular with have a slope - 1 m .
Therefore, a line that is perpendicular to y=5x+6 will have a slope of m = - 1 5
Start slope intercept form of the equation of a line:
y = m x + b
Substitute -5 for x, -3 for y, and - 1 5 for m:
- 3 = - 1 5 ( - 5 ) + b
Solve for b:
b = - 4
The equation of the line is:
y = - 1 5 x - 4

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