I need to see how you work this Wrote the equation of the line passing throught (4,1) and parallel to the line y=3x-2

Question

write the equation of a line passing through (4,1) and parallel to the line y=3x-2

Answer 1

parallel to y = 3x - 2 and passing through (4,1):

Parallel lines have the same slope, so the slope is 3:

using the equation (y - y1) = m(x - x1):

y - 1 = 3(x - 4)

y - 1 = 3x - 12

in slope-intercept form:

y = 3x - 11

in standard form:

3x - y = 11