Question

hii guys

proove it plz​

Answer 1

Step-by-step explanation:

Let the lines be l₁ and l₂ of slopes m₁ and m₂. if the y-intercepts are b₁ and b₂, then by the slope-intercept form, the lines have equations

y = m₁x + b₁ and y = m₂x + b₂

The lines intersect at some point (x,y) if and only if the values of y for some x,

m₁x + b₁ = m₂x + b₂

=> (m₁ - m₂)x = b₂ - b₁

The last equation can be solved for x if and only if m₁ - m₂ ≠ 0. We have shown that lines l₁ and l₂ intersect if and only if m₁ ≠ m₂. Hence, they are parallel if and only if m₁ = m₂.

Hence, proved!

#Hope my answer helped you.

Answer 2

Answer:

Refer to the attachment