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The y-intecept is where the graph of the equation crosses the y-axis. In other words, it occurs where x=0.
For y=kx, the y-intercept is 0, not k. Substitute 0 for x, and y=0.
In an equation of the form y=ax+b, then the y-intercept is b, and the x-intercept is -b/a.
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What is k equals xy for x?
k = x y x = k/y
If Y varies directly as x and y equals seventy-five when x equals five find y when x equals one?
y = x/k so k = 1/25; when x = 1, x/k, hence y, = 25
If y varies directly as x and y equals fifteen and when x equals 6 find y when x equals 10?
y = x/k so 15 = 6/k making k = 0.4. when x = 10 y = 10/0.4 ie 25 alternatively y/x = k ie 15/6 = k so k = 2.5; y/10 = 2.5 making y = 25.
Suppose y varies directly as x if y equals 4 when x equals -2 what is y when x equals 30?
y varies directly as x y=kx, where k is any constant y = 4 when x=-2 4 = k (-2) 4 =-2k k=-2 Therefore, y=-2x When x=30 y = -2(30) = -60
Suppose y varies inversely with X use the information to find K and choose the equation of variation. X equals 7 and y equals 3?
xy = K so K = 21
What is k equals xy for x?
k = x y x = k/y
If x varies directly as y and x equals 24 when y equals 6 Then find x when y equals 8?
x = y/k: 24 = 6/k so k = ¼; when y = 8, x = 8/¼ = 32
If Y varies directly as x and y equals seventy-five when x equals five find y when x equals one?
y = x/k so k = 1/25; when x = 1, x/k, hence y, = 25
If y varies directly as x and y equals fifteen and when x equals 6 find y when x equals 10?
y = x/k so 15 = 6/k making k = 0.4. when x = 10 y = 10/0.4 ie 25 alternatively y/x = k ie 15/6 = k so k = 2.5; y/10 = 2.5 making y = 25.
If X varies inversely as Y and X equals -24 when Y equals 15 find X when Y equals -36?
xy = is a constant (k) so k = -360. When y = - 36, x = 10
What is the expression which connects y and x when y is inversely proportional to x and x equals 9 y equals 7. and what is the value of y when x equals 21?
x*y = k where k is a constant.When x = 9, y = 7 so k = 9*7 = 63 When x = 21, 21*y = 63 so y = 3.
Suppose y varies directly with x and y equals 12 when x equals 6write an equation realting x and y?
y = kx ie y/x = k, k = 2, so y = 2x
Find an equation of variation where y varies directly as x and y equals 535 when x equals 140?
y=k*x 535=k*140 k=535/140=107/28 y=(107/28)*x
Suppose y varies directly as x if y equals 4 when x equals -2 what is y when x equals 30?
y varies directly as x y=kx, where k is any constant y = 4 when x=-2 4 = k (-2) 4 =-2k k=-2 Therefore, y=-2x When x=30 y = -2(30) = -60
If y varies directly as x and y equals 18 when x equals 3?
y varies directly as x y=kx, where k is a constant y=18 when x=3 18=3k k=6 y=6x
What is a slope used for?
It shows the relationship of y in terms of x. [y = (yIntercept) + ((slope)*(x))] [slope = (y2 - y1)/(x2 - x1)]
If x varies jointly as y and the square as z and x equals 40 when y equals 20 and z equals 2 find x when y equals 30 and z equals 3?
As x ∝ yz2 then x = kyz2 where k is a constant. Substituting the given figures, 40 = k*20*22 = 80k Then k = ½ and the formula is, x = ½yz2 So, x = ½ * 30 *32 = 135
