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4 x 6y = 24y
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4X x 6Y --> 6Y = 1/4X --> Y = (1/4X)/6
4X x 6 + Y --> Y = - (4X x 6)
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The y intercept is when x =0, so the answer is -6
As the second line is parallel to the first then the slopes of both lines are the same. 4x + y - 1 = 0 : y = -4x + 1 : Therefore the slope is -4. Using the standard slope-intercept equation of y = mx + c for the second line gives :- 2 = -4x1 + c : 2 = -4 + c : c = 2 + 4 = 6. Therefore the equation of the second line is y = -4x + 6. (Or y + 4x - 6 = 0)
okay, so to find this the format of the equation is y=mx+b, where m is the slope, and b is the y-int. 4x-3y=6 simplified to that format is: y=1.3333...x+2, so the slope is 1 and 1/3, and the y-int. is 2.
Circle equation: x^2 -4x +y^2 -6y = 4 Completing the squares: (x-2)^2 +(y-3)^2 = 17 Point of contact: (6, 4) Center of circle: (2, 3) Slope of radius: 1/4 Slope of tangent line: -4 Tangent equation: y-4 = -4(x-6) => y = -4x+28 Tangent line equation in its general form: 4x+y-28 = 0
-4