Question

Find the equation of the line parallel to 4x + 3y = 5 and having x-intercept (-3)

Answer 1

A line is parallel to given line only when
slope of both lines are equal .

Let slope of unknown line is P
slope of 4x + 3y = 5 is -4/3
hence, P = -4/3
A/C to question ,
unknown line passes through (-3, 0)
so, equation of line :
(y - 0) = -4/3(x +3)
y = -4/3(x + 3)
3y + 4(x + 3) = 0
4x + 3y + 12 = 0

hence, 4x + 3y = -12

Answer 2

Let slope of unknown line is P

slope of 4x + 3y = 5 is -4/3

hence, P = -4/3

A/C to question ,

unknown line passes through (-3, 0)

so, equation of line :

(y - 0) = -4/3(x +3)

y = -4/3(x + 3)

3y + 4(x + 3) = 0

4x + 3y + 12 = 0

hence, 4x + 3y = -12