-1
your equation is y=3x + 4 here are five parallel equations... y=3x + 5 y=3x + 6 y=3x + 7 y=3x + 8 y=3x + 9
Known equation: 3x+5y = 6 or y = -3/5x +6/5 Slope of equation: -3/5 Slope of parallel equation: -3/5 Parallel equation: y-1 = -3/5(x-3) => 5y = -3x+14 Parallel equation in its general form: 3x+5y-14 = 0
The parallel equation works out as: 4y = 3x+1 which can be expressed in the form of 3x-4y+1 = 0
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.
Assuming the equation of the given line is y = 3x + 4, its gradient is 3.Therefore the gradient of the required line is 3. The line passes through (3, 1) and so its equation is y - 1 = 3*(x - 3) = 3x - 9 So y = 3x - 8
q2
y=1over 3x + 3
your equation is y=3x + 4 here are five parallel equations... y=3x + 5 y=3x + 6 y=3x + 7 y=3x + 8 y=3x + 9
Given point: (6, 7) Equation: 3x+y = 8 Parallel equation: 3x+y = 25
Known equation: 3x+5y = 6 or y = -3/5x +6/5 Slope of equation: -3/5 Slope of parallel equation: -3/5 Parallel equation: y-1 = -3/5(x-3) => 5y = -3x+14 Parallel equation in its general form: 3x+5y-14 = 0
The parallel equation works out as: 4y = 3x+1 which can be expressed in the form of 3x-4y+1 = 0
Since the two lines are parallel, then they have the same slope, 3. Thus, the equation of the line with y-intercept -4, and parallel to y = 3x - 3 is y = 3x - 4.
It can be many things however it must have the same slope of 3 and a different Y-Intercept. So it could be 3x+2, or 3x+ 3, 3x+4 and on and on
y = 3x+5 is parallel to y = 3x+7
y -4 = 3(x-3)y = 3x -5
5
3x-4y = 9 -4y = -3x+9 y = 3/4x-9/4 The equation parallel to this can be y = 3/4x+9/4 because the slope or gradient is the same but the y intercept is different.