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

Question

slope intercept form

Answer 1

The line equation is  2x+y-7=0 .

Rewrite the equation , solve for y .

2x+y-7=0 

y =  -2x +7

Slope of the line m₁ = -2 .

We know that the parallel lines have a equal slope .

m₂  = -2 .

The given point is (4,4)

So the point - slope form of equation is y – y₁ = m(x – x₁) .

y – 4 = -2(x – 4) 

y – 4 = -2x + 8

y = -2x + 12 .

So the line passes through (4,4) and parallel to 2x+y-7=0 is y = -2x + 12 .