The equation y - 4x - 1 can be rewritten in standard form as -4x + y = 1. In standard form, the equation is written as Ax + By = C, where A, B, and C are integers, and A is typically positive. This form is commonly used in mathematics and allows for easier comparison and manipulation of equations.
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Presumably this is a simultaneous equation in the form of: -4x+3y = 27 -2x+y = -1 Multiply all terms of the bottom equation by 2: -4x+3y = 27 -4x+2y = -2 Subtract the bottom equation from the top equation remembering that a - - is equal to a + Meaning that -4x - -4x = 0 and 27 - -2 = 29: So y will = 29 Substitute the value of y into the original equations to find the value of x Therefore: x = 15 and y = 29
8x2 + 2x - 1 = 8x2 + 4x - 2x - 1 = 4x(2x + 1) - 1(2x + 1) = (4x - 1)(2x + 1)
Without any equality signs the expressions given can't be considered to be equations
If the equation is x+4 the slope is 1. If the equation is 4x than the slope is 4.
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To convert the vertex form ( y = 4(x - 2)^2 - 1 ) to standard form, expand the equation. Start by expanding ( (x - 2)^2 ) to get ( x^2 - 4x + 4 ). Then, substitute this back into the equation: ( y = 4(x^2 - 4x + 4) - 1 ), which simplifies to ( y = 4x^2 - 16x + 16 - 1 ). Therefore, the standard form is ( y = 4x^2 - 16x + 15 ).
To write the equation ( 11 - 4x(3x - 2)^2 + 1 ) in standard form, first simplify it. Start by expanding ( (3x - 2)^2 ) to get ( 9x^2 - 12x + 4 ). Substitute this back into the equation: ( 11 - 4x(9x^2 - 12x + 4) + 1 ). Finally, combine like terms to arrive at the standard form ( -36x^3 + 48x^2 - 5 ).
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4 x + y = -1
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Points: (2, 2) and (6, 3) Slope: 1/4 Equation: y = 1/4x+3/2 In standard form: x-4y+6 = 0
A linear equation is that equation in which a variable or variables has exponent equal to 1. For example, standard form of linear equation in one variable: a1x + a2x +.......+ anx = c Standard form of a linear equation : a1x + a2x +.........+ anx = c e.g. 4x + 3 =6, 3x + 6y + 5z = 2 etc.
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y = mx + b <-- (Slope Intercept equation) y = 4x - 1 <-- (Slope Intercept form)
Gradient = [7 - (-9)]/[3 - (-1)] = 16/4 = 4 So the equation is (y - 7) = 4*(x - 3) or y - 7 = 4x - 12 The standard form, therefore, is 4x - y - 5 = 0