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Question 1167335: Find the equation of the line with a slope of -5 that goes through the point (6, -1). Show your work below for full credit.
Answer by ikleyn(52898)   (Show Source):
You can put this solution on YOUR website! .
An equation of a straight line in a coordinate plane which has the slope m and passes through the given point P = (a,b) is
y - b = m*(x-a). (1)
Simply substitute the given data into equation (1), and you will get
y-(-1) = (-5)*(x-6). (2)
It is the equation in the "slope intercept form".
If you want to get the standard form equation, simplify (2):
y+1 = -5x + 30, or, equivalently, 5x + y = 30 - 1,
or, finally, 5x+y = 29.
Solved.
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See the lesson in this site
- Equation for a straight line having a given slope and passing through a given point
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