Question 164865: Write an equation of the line through the given point with the given slope in slope intercept form. (3,3); m=-6
Found 3 solutions by gonzo, padmameesala, MRperkins:
Answer by gonzo(654)   (Show Source):
You can put this solution on YOUR website! slope intercept form of equation going through the point (x1,y1) is
(y-y1) = (x-x1)*m
where m is the slope.
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you are given the following:
m = -6
y1 = 3
x1 = 3
equation becomes
y-3 = (x-3)*-6
simplifying:
y-3 = -6x + 18
adding 3 to both sides
y = -6x + 21
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that's the equation in slope intercept form (y = mx+b)
m is the slope = -6
b is the y intercept = 21
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to prove the y intercept is correct, let x = 0.
then y = 21
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to prove this equation goes through the point (3,3), then substitute 3 for x and 3 for y.
y = -6x + 21
3 = -6(3) + 21
3 = -18 + 21
add 18 to both sides.
21 = 21
proven.
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Answer by padmameesala(42) (Show Source):
You can put this solution on YOUR website! Equation of the line through the given point with the given slope in slope intercept form is y-y1=m(x-x1) where (x1,y1) is the point and m is the slope
so required line equation is y-3=-6(x-3)
y-3=-6x+18
y=-6x+21
Answer by MRperkins(300)  (Show Source):
You can put this solution on YOUR website! The first thing you need to know is what slope intercept form is.
So slope intercept form is: y=mx+b
where (x,y) is a given point; m=slope; b=the y-intercept
So, substitute your values into the equation and you get
y = m x +b
(3)=(-6)(3)+b
now solve for b
3=-18+b
add 18 to both sides and you get
21=b
Now that you know the value of b you are able to plug this into the slope-intercept formula
you will need to know how to do this problem throughout your education so make sure you understand this very well.
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