SOLUTION: Find the slope-intercept form of the equation of the line passing through ( - 2, 5) perpendicular to the graph of y=-1/8x+19/4

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Question 1195873: Find the slope-intercept form of the equation of the line passing through ( - 2, 5) perpendicular to the graph of y=-1/8x+19/4

Found 3 solutions by ikleyn, Alan3354, greenestamps:
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website!
.
Find the slope-intercept form of the equation of the line passing through (-2,5)
perpendicular to the graph of y=-1/8x+19/4
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The line y = -1/8x+19/4 has the slope -1/8. Hence, a perpendicular line has the slope of 8 (negative reciprocal to -1/8). Thus the sough line has an equation y - 5 = 8*(x-(-2)), Simplify it y - 5 = 8*(x+2) y - 5 = 8x + 16 y = 8x + 21. The last equation is in the slope-intercept form and is your ANSWER.

Solved and explained.

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    - Equation for a straight line perpendicular to a given line and passing through a given point

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At this site, there is a group of lessons related to this class of problems
    - Find the slope of a straight line in a coordinate plane passing through two given points
    - Equation for a straight line having a given slope and passing through a given point
    - Solving problems related to the slope of a straight line
    - Equation for a straight line in a coordinate plane passing through two given points
    - Equation for a straight line parallel to a given line and passing through a given point
    - Equation for a straight line perpendicular to a given line and passing through a given point (*)
    - Advanced problems on finding equations for straight lines

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Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
Find the slope-intercept form of the equation of the line passing through ( - 2, 5) perpendicular to the graph of y=-1/8x+19/4
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The given equation is ambiguous.
is 1 possibility.

Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!

The slope of the given line is -1/8; the slope of any line perpendicular to that line is the negative reciprocal, 8.

Another tutor then finds the answer using the point-slope form of the equation,

Another path to the answer that many students might prefer is to use the slope-intercept form of the equation:

ANSWER: