Question

Find the equation of the straight line parallel to 3x - y+7 = 0 and passing through ( 1 - 2)​

Answer 1

Answer:

$y = 3x - 5$

Step-by-step explanation:

Eqn. of Straight line is:

$y = mx + b$

Given

$3x - y + 7 = 0$

Or,

y = 3x + 7

$slope \: m = 3 \: and \: intercept \: b = 7$

Eqn. Parallel to

$y = 3x + 7$

at given slope and set of points (x1, y1) = (1,-2) is

$y - y1 = m(x - x1)$

Or,

$y + 2 = 3(x - 1)$

$y + 2 = 3x - 3$

Therefore the equation parallel to given eqn is:

$y = 3x - 5$