Points: (4, 8) and (2, -2) Slope: (8--2)/(4-2) = 5 Equation: y-8 = 5(x-4) => y = 5x-12 Equation: y--2 = 5(x-2) => y = 5x-12 So straight line equation is: y = 5x-12
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ANSWER: 12 and -6x * y = 72x = 72/y Equation 1x + y = 6 Equation 2Substitute Eq.1 to Eq.2-72/y + y = 6multiply both sides of the equation by yy (-72/y + y ) = 6* y-72 + y2 = 6yy2 - 6y - 72 = 0(y- 12) (y + 6) = 0y = 12 ; y = -6x =-12 ; x = 12Take x = 12 and y = -6
y = x - 4 × 2 + 12 y = x - 8 + 12 y = x - 20 That is the simplest form of the equation, as you can only solve completely by having only 1 variable to solve.
If you mean: y-6 = 2(x+3) then y = 2x+12 whereas 2 is the slope and 12 is the y intercept
The equation is y + 2 = 12.
y = 10
Points: (4, 8) and (2, -2) Slope: (8--2)/(4-2) = 5 Equation: y-8 = 5(x-4) => y = 5x-12 Equation: y--2 = 5(x-2) => y = 5x-12 So straight line equation is: y = 5x-12
Points: (4, 8) and (2, -2) Slope: (8--2)/(4-2) = 5 Equation: y-8 = 5(x-4) => y = 5x-12 Equation: y--2 = 5(x-2) => y = 5x-12 So straight line equation is: y = 5x-12
Points: (4, 8) and (2, -2) Slope: (8--2)/(4-2) = 5 Equation: y-8 = 5(x-4) => y = 5x-12 Equation: y--2 = 5(x-2) => y = 5x-12 So straight line equation is: y = 5x-12
5 & 7 Solution: x+y = 12 x-y = 2 => x = y+2 Substitute the x in the first equation with the second equation: (y+2) + y = 12 2y = 10 y = 5 x = 7
y/12 + 8 = 2
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Mathematical substitution is the process of using one equation to solve for multiple variables. For example: Equation 1: x + y = 4 Equation 2: 2x + y = 16 Using equation 1, solve for y: y = 4 - x <-- Plug this into equation 2. This is substitution because you are replacing y in equation 2 with what y is equal to in equation 1. 2x + y = 16 ----> 2x + (4 - x) = 16 Now you can solve for x: x + 4 = 16; x = 12 You can then substitute the value of x back into the equation that is solved for y: y = 4 - 12; y = -8 Check both equations: Equation 1: -8 + 12 = 4; 4 = 4 (Correct) Equation 2: 2(12) + (-8) = 16; 24 - 8 = 16; 16 = 16 (Correct) We have successfully used substitution to solve for two different variables, x and y.
ANSWER: 12 and -6x * y = 72x = 72/y Equation 1x + y = 6 Equation 2Substitute Eq.1 to Eq.2-72/y + y = 6multiply both sides of the equation by yy (-72/y + y ) = 6* y-72 + y2 = 6yy2 - 6y - 72 = 0(y- 12) (y + 6) = 0y = 12 ; y = -6x =-12 ; x = 12Take x = 12 and y = -6
The equation -2x=2y*12 is first simplified to y = ((-2x)/12)/2 y = -2x/24 y = -x/12 The graph is then graphed and the equation intersects the y-axis at y = 0. So the y-intercept is 0.
y = x - 4 × 2 + 12 y = x - 8 + 12 y = x - 20 That is the simplest form of the equation, as you can only solve completely by having only 1 variable to solve.