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Q: Is 5y equals 2x-5 a parallel line?

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7

Perpendicular slope: -2/5 Perpendicular equation: y--4 = -2/5(x-3) => 5y--20 = -2x-3 => 5y = -2x-14 Perpendicular equation in its general form: 2x+5y+14 = 0

-8 - 5y = 12 - 9y -8 + 4y = 12 4y = 20 y = 20/4 or 5

You have two simultaneous equations; solve them:2x - 3y + 5 = 0→ 2x - 3y = -54x + 5y - 1 = 0 → 4x + 5y = 1As in the second equation the x coefficient is twice that in the first equation, subtract twice the first equation from the second and solve for y; {2}-2×{1}:(4x - 2×2x) + (5y - 2×-3y) = 1 - 2×-5→ (4x - 4x) + (5y - -6y) = 1 - -10→ 5y + 6y = 1 + 10→ 11y = 11→ y = 1Now substitute back into one of the equations (say {2}):4x + 5y = 1→ 4x + 5×1 = 1→ 4x = 1 - 5 = -4→ x = -1Now substitute the values for x and y back into the other equation ({1}) as a check:2x - 3y = 2×-1 - 3×1 = -2 - 3 = -5 as required.Thus the lines intersect at the point (-1, 1).

5 - 2y = 3y - 5 10 = 5y So, y = 2.

Related questions

Get in slope intercept form. 3X + 5Y = 15 5Y = -3X + 15 Y = -3/5X + 3 -3/5 is the slope of this line and the line parallel to this line

It will have the same slope which is 2

-3/5 or -0.6

When a straight line equation is parallel to another equation the slope remains the same but the y intercept changes

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

If: 3x+5y = 6 Then: y = -3/5x+6/5 which means it has a slope of -3/5 Parallel equation: y-1 = -3/5(x-3) => 5y-5 = -3(x-3) => 5y = -3x+14 Or as: 3x+5y = 14

It will have the same slope but a different y intercept

It is: minus 1.25

45

5y - x = 10 5y = x + 10 or y = x/5 + 2 This is now the equaltion of the line in the standard form and the slope of the line is the coefficieint of x that is, 1/5 or 0.2

10x+5y = 25 5y = -10x+25 y = -2x+5 Therefore: the slope is -2 and the intercept is 5

4x-5y = 13 -5y = -4x+13 y = 4/5x-13/5 Slope = 4/5 or 0.8

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