Equation of a line parallel

Question

What is the equation of a line parallel to y=4/5x +2 that passes through (1,2)?

Answer 1

y-2 = (4/5)(x-1) is the parallel line through (1,2) in point slope form

y = 4x/5 -4/5 +2

y = 4x/5 + 6/5 is the parallel line through (1,2) in slope intercept form

5y =4x +6

4x-5y +6 =0 is the parallel line in standard form

Answer 2

Parallel lines have matching slope.

Following y = mx + b format, the slope is (4/5).

Given the point (1,2), you substitute the x and y values into y = mx + b format:

2 = (4/5)(1) + b.

Solving for b, b = 2.5.

Therefore, the equation of the parallel line passing through (1,2) is (4/5)x + (6/5)