standard form is y = mx + b where m = slope 12 x+ 4y = 24 3x + y = 6 y = -3x + 6 slope is -3
9x2 + 24xy + 16y2 = 9x2 + 12xy + 12xy + 16y2 = 3x(3x + 4y) + 4y(3x + 4y) = (3x + 4y)*(3x + 4y) = (3x + 4y)2
3x - 4y = 10-3x - 4y = 8 -> add line 1 to line 2 3x - 4y = 100x - 8y = 18 -> -8y = 18 -> y = -18/8 = -9/4 -> 3x - 4*(-9/4) = 10 -> 3x + 9 = 10 -> 3x = 1 -> x = 1/3
3x - 4y = 1Subtract 3x from each side:-4y = -3x + 1Multiply each side by -1:4y = 3x - 1Divide each side by 4:y = 3/4 x - 1/4The graph is a straight line with [ slope = 3/4 ] and [ y-intercept = -1/4 ].
-3/4 if the question is 3x+4y
standard form is y = mx + b where m = slope 12 x+ 4y = 24 3x + y = 6 y = -3x + 6 slope is -3
9x2 + 24xy + 16y2 = 9x2 + 12xy + 12xy + 16y2 = 3x(3x + 4y) + 4y(3x + 4y) = (3x + 4y)*(3x + 4y) = (3x + 4y)2
3x - 4y = 10-3x - 4y = 8 -> add line 1 to line 2 3x - 4y = 100x - 8y = 18 -> -8y = 18 -> y = -18/8 = -9/4 -> 3x - 4*(-9/4) = 10 -> 3x + 9 = 10 -> 3x = 1 -> x = 1/3
They are two regions of the Cartesian plane with the straight line 3x + 4y = 12 defining their boundary. That line is not part of either region.
-3/4 if the question is 3x+4y
3x - 4y = 1Subtract 3x from each side:-4y = -3x + 1Multiply each side by -1:4y = 3x - 1Divide each side by 4:y = 3/4 x - 1/4The graph is a straight line with [ slope = 3/4 ] and [ y-intercept = -1/4 ].
3x+4y = 8 4y = -3x+8 y = -3/4x+2 in slope intercrpt form It has a negative slope so the straight line goes 'downhill'
-3x + 4y = 12∴ 4y = 3x + 12∴ y = 3x/4 + 3So this is a line with a slope of 3/4, an x-intercept of {0, 3} and a y-intercept of {-4, 0}
The parallel equation works out as: 4y = 3x+1 which can be expressed in the form of 3x-4y+1 = 0
2x + 3y = 17 3x + 4y = 24 (2x + 3x) + (3y + 4y) = (17 + 24) 5x + 7y = 41
3X - 4Y = 25- 4Y = - 3X + 25Y = (3/4)X - 25/4===============the lineTo find intercepts for a two point graphing exercise/Y = - 25/4-----------zero out Y(3/4)X - 25/4 = 0(3/4)X = 25/4X = 25/3------------------(25/3, 0) and (0, - 25/4)------------------------------------------points to graph line
Lines parallel to the line would have the same slope, which is 3/4. (0.75) 3x-4y = 12 3x-12 = 4y y = 3/4 x - 3 The y-intercept is -3 and the slope is 3/4.