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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k = x y x = k/y
y = x/k so k = 1/25; when x = 1, x/k, hence y, = 25
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.
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
xy = K so K = 21