Question 168433: Suppose y varies directly as x and y=27 when x=3. Find x when y=45.
Suppose y varies inversely as x and y=24 when x=3. fond x when y=36.
Write the point-slope form of an equation for the line passing through the point at (3,-6) with slope -4/3.
Write an equation in slope-intercept form for the line through points (2,4) and (6,-2).
Determine the slope and y-intercept of the graph of 12+3y=-2x
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose y varies directly as x and y=27 when x=3. Find x when y=45.
y = kx
Find "k"
27 = k*3
k = 9
Equation:
y = 9x
Find x when y = 45
45 = 9x
x = 5
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Suppose y varies inversely as x and y=24 when x=3. find x when y=36.
y = k/x
Find k
24 = k/3
k = 72
Equation: y = 72/x
Find x when y = 36
36 = 72/x
x = 72/36
x = 2
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Write the point-slope form of an equation for the line passing through the point at (3,-6) with slope -4/3.
Intercept: -6 = (-4/3)*3 + b
b = -6+4 = -2
Equation: y = (-4/3)x - 2
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Write an equation in slope-intercept form for the line through points (2,4) and (6,-2).
slope = (4--2)/(2-6) = 6/-4 = -3/2
intercept: 4 = (-3/2)*2 + b
b = 4+3 = 7
y = (-3/2)x + 7
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Determine the slope and y-intercept of the graph of 12+3y=-2x
y = (-2/3)x - 4
slope = -2/3
intercept = -4
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Cheers,
Stan H.
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