SOLUTION: please help with graphing and linear equations question 1) what is the slope of.. 3x+7y=-14 question 2)find the equation of the line.. through (-5.-8)parallel to 3x+5y=8 questi

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Question 916709: please help with graphing and linear equations
question 1) what is the slope of.. 3x+7y=-14
question 2)find the equation of the line.. through (-5.-8)parallel to 3x+5y=8
question 3)determine equation (0,-3)(-4,12)
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Solve the equation for in terms of everything else. Then the slope is the coefficient on

John

My calculator said it, I believe it, that settles it

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

question 1) what is the slope of
+3x%2B7y=-14
+7y=-3x-14
+y=-%283%2F7%29x-14%2F7
+y=+-%283%2F7%29x-2
the slope is -%283%2F7%29

question 2)find the equation of the line..
through (-5,-8)parallel to 3x%2B5y=8
5y=-3x%2B8
y=+-%283%2F5%29x%2B8%2F5
Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line


Since any two parallel lines have the same slope we know the slope of the unknown line is -%283%2F5%29 (its from the slope of y=%28-%283%2F5%29%29%2Ax%2B1.6 which is also -%283%2F5%29). Also since the unknown line goes through (-5,-8), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope and (x%5B1%5D,y%5B1%5D) is the given point



y%2B8=%28-%283%2F5%29%29%2A%28x%2B5%29 Plug in m=-%283%2F5%29, x%5B1%5D=-5, and y%5B1%5D=-8



y%2B8=%28-%283%2F5%29%29%2Ax%2B%28%283%2F5%29%29%28-5%29 Distribute -%283%2F5%29



y%2B8=%28-%283%2F5%29%29%2Ax-0%2F5 Multiply



y=%28-%283%2F5%29%29%2Ax-0%2F5-8Subtract -8 from both sides to isolate y

y=%28-%283%2F5%29%29%2Ax-0%2F5-40%2F5 Make into equivalent fractions with equal denominators



y=%28-%283%2F5%29%29%2Ax-40%2F5 Combine the fractions



y=%28-%283%2F5%29%29%2Ax-8 Reduce any fractions

So the equation of the line that is parallel to y=%28-%283%2F5%29%29%2Ax%2B1.6 and goes through (-5,-8) is y=%28-%283%2F5%29%29%2Ax-8


So here are the graphs of the equations y=%28-%283%2F5%29%29%2Ax%2B1.6 and y=%28-%283%2F5%29%29%2Ax-8



graph of the given equation y=%28-%283%2F5%29%29%2Ax%2B1.6 (red) and graph of the line y=%28-%283%2F5%29%29%2Ax-8(green) that is parallel to the given graph and goes through (-5,-8)







question 3)determine equation
given points:(+0+,-3)and(-4,12)
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (0, -3) and (x2, y2) = (-4, 12).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%2812--3%29%2F%28-4-0%29+=+-3.75.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -3.75%2A0+%2Bb+=+-3. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-3--3.75%2A0+=+-3.

y=(-3.75)x + (-3)

Your graph: