SOLUTION: Find the equation of the line, in slope-intercept form, that satisfies the given conditions. The graph is perpendicular to the graph of y = 2x - 6 and passes through the point

Algebra ->  Graphs -> SOLUTION: Find the equation of the line, in slope-intercept form, that satisfies the given conditions. The graph is perpendicular to the graph of y = 2x - 6 and passes through the point      Log On


   

Question 989526: Find the equation of the line, in slope-intercept form, that satisfies the given conditions.
The graph is perpendicular to the graph of
y = 2x - 6
and passes through the point whose coordinates are
(3, -5)
Y=
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Perpendicular lines have slopes that are negative reciprocals of each other, so you can determine the slope of your desired line by calculating the slope of your given line and you have a given point. The slope of a line where the equation is given in standard form, , is given by , hence the slope of the perpendicular is .

Use the Point-Slope form:



where are the coordinates of the given point and is the calculated slope.

John

My calculator said it, I believe it, that settles it