Parallel lines are the lines on a plane that do not meet each other.
Find the equation of the line that passes through the point A(-2,4) and is parallel to the line y=3x-4.
y=3x-4 m=3 x1 = -2 y1 = 4
Parallel line equation
Substitute the given values in the following formula, (y - y1) = m(x - x1) (y - 4) = 3(x - (-2)) (y - 4) = 3(x + 2) y - 4 = 3x + 6 y = 3x + 6 + 4 y = 3x + 10
Substitute all the x values in the equations, y =3x+10 and y = 3x-4, which is shown in the below table.
| x | -10 | -9 | -8 | -7 | -6 | -5 | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| y=3x+10 | -20 | -17 | -14 | -11 | -8 | -5 | -2 | 1 | 4 | 7 | 10 | 13 | 16 | 19 | 22 | 25 | 28 | 31 | 34 | 37 | 40 |
| y=3x - 4 | -34 | -31 | -28 | -25 | -22 | -19 | -16 | -13 | -10 | -7 | -4 | -1 | 2 | 5 | 8 | 11 | 14 | 17 | 20 | 23 | 26 |
Two equations y=3x-4 and y =3x+10 are shown in graphical format in the below given Parallel line Graph
Equation of Parallel line Graph
