SOLUTION: write an equation for each line through negative 2 and 1 and parallel to y= negative 3x plus 1

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Question 273335: write an equation for each line through negative 2 and 1 and parallel to y= negative 3x plus 1
Found 2 solutions by solver91311, JBarnum:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I think you want a line through (-2, 1) parallel to

The slope of a line is the coefficient on when the equation is in slope-intercept form. Parallel lines have equal slopes.

So use the point-slope form of the equation of a line to derive the desired equation:




where are the coordinates of the given point and is the slope of the given line.

So:



Simplification is left as an exercise for the student.

John

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
point(-2,1) is // to y=-3x+1
y=mx+b where m=slope and b=y-intercept
since the dot on a line is paralell to y=-3x+1 they have the same slope.
the slope is -3/1 as shown so on the graph u would go down 3 and to the right 1 from the point (-2,1) which is x+1,y-3= (-1,-2) but to make the equation u use the slope formula %28y-y%29%2F%28x-x%29=m
%28y-1%29%2F%28x--2%29=-3%2F1fix signs and use the first point
%28%28y-1%29%2F%28x%2B2%29%29%28x%2B2%29=-3%28x%2B2%29multiply
y-1=-3x-6add
highlight%28y=-3x-5%29
___________________
Checking, plug in the second point i found out earlier (-1,-2)
y=-3x-5
-2=-3%28-1%29-5
-2=3-5
-2=-2
Correct