Parallel lines.

Question

Find the equation of the line parallel to the line y=3x-2 and passes through the point (1,5)

Answer 1

The line y = 3x - 2 is given in slope-intercept form [ y = mx + b ], with slope m = 3 and y-intercept [ b ] at point (0, -2).

All lines parallel to this line have the same slope. that is, 3.

We may use the point-slope form of the equation of a line to find the equation of the parallel line.

( y - y₁ ) = m ( x - x₁ )

y - 5 = 3(x - 1)

y = 3x - 3 + 5

y = 3x + 2

Check to be sure that this line contains the point (1,5)

5 = 3(1) + 2

5 = 5 YES!