SOLUTION: Determine the linear function whose graph is a line that is perpendicular to the line g(x)=7x+3 and contains the point (5,5).
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-> SOLUTION: Determine the linear function whose graph is a line that is perpendicular to the line g(x)=7x+3 and contains the point (5,5).
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Question 83117: Determine the linear function whose graph is a line that is perpendicular to the line g(x)=7x+3 and contains the point (5,5). Answer by Mona27(45) (Show Source):
You can put this solution on YOUR website! To find the equation of any linear graph you need 2 main things:
1. the gradient (slope) of the line.
2. any point on the line.
The general equation of any straight line is:
y=mx+b
where m is the gradient, and b is the y-intercept (the point at which the line crosses the y-axis).
To make the line perpendicular to g(x), the product of their gradients must be -1.
This means that the gradient of the line we are looking for is .
Next we can put in the point we have been given:
x=5, y=5
y=mx+b
(