Question 1172069: What is the equation of the line that passes through the point (-1,4) and has a slope of -5?
Answer by ikleyn(52775)   (Show Source):
You can put this solution on YOUR website! .
In the most general case, the line, which has the slope "m" and goes through the point (a,b), has an equation
y - b = m*(x-a).
In your case, m= -5, a= -1, b= 4, so the line has an equation
y - 4 = (-5)*(x-(-1)), or
y - 4 = -5x - 5, or
y = -5x - 1
or any other equivalent equation.
Solved, answered and explained.
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As a bonus for you, consider the lessons in this site
- 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
that are closely related to your problem.
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Consider them as your textbook, handbook, guidebook, tutorials and (free of charge) home teacher.
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