Question

Equation of line passing through ( 2,-3) and parallel to the line 4x - y +7 =0 is

Answer 1

Answer:

line parallel to 4x - y + 7 = 0

is 4x + y = k

(x,y) = (2,-3)

4(2) -3 = k

k = 5

so the required equation is 4x + y = 5

Step-by-step explanation:

Answer 2

Answer:

The equation of line passing through ( 2,-3) and parallel to the line 4x - y +7 =0 is y - 4x + 11 = 0

Step-by-step explanation:

Given that the line is parallel to 4x - y + 7 = 0

=> y = 4x + 7

Therefore, the slope of the line is 4

As the line is parallel, it will have the same slope.

The line passes through (2 , -3)

According to equation of the line,

y - y₁ = m (x - x₁)

On substituting the values,

=> y - (-3) = 4 (x - 2)

=> y + 3 = 4x - 8

=> y - 4x + 11 = 0

Therefore, the equation of line passing through ( 2,-3) and parallel to the line 4x - y +7 =0 is y - 4x + 11 = 0