Question

consider the point A= (1,2) and the line B, given by the equation y=3x-5. write an equation in slope intercept of the line passing through point A and parallel to line b

Answer 1

y = 3x - 1

Explanation:

Any line parallel to line b will have the same slope as does y = 3x - 5, but the y-intercept will be different.

Starting with y = mx + b, and substituting the given x and y values of (1, 2), we get:

2 = 3(1) + b, where b is the y-coordinate of the y-intercept.

Then b = -1, and the desired equation becomes:

y = 3x - 1