Question

Write the equation of the line parallel to 4x - y = 5 and passes through (3, 4)​

Answer 1

Answer:

Equation of the line parallel to 4x - y = 5 and passes through (3, 4)​ is

$y=-4x+16$

Step-by-step explanation:

Slope of line 4x - y = 5 is -4. Since parallel lines have same slopes therefore slope of other line is -4 as well.

Equation of the line that passes through (3, 4)​ and has slope -4 is given as

$y-y_1=m(x-x_1)$

$y-4=-4(x-3)$

Simplifying it further

$y=-4x+12+4$

$y=-4x+16$