Find the slope of a line that is parallel to the line that passes through (2, 1) and (-2, 7

Question

i just need the answer for my algebra class because i havent been to school i five months for personal reasons and have no idea whats going on

Answer 1

Hi N.U,

The slopes of parallel lines are equal.

Fine the slope of the line passing through (2,1) and (-2,7) Using the following formula.

Formula :

The slope of the line passing through two points ( x_{1 ,} y₁ ) and ( x_{2 ,} y₂ ) is

m = ( y₂ - y₁ ) / ( x₂ - x₁)

Hope this is helpful!

Answer 2

Just use the definition of slope: slope = rise/run, or m = (y₂ - y₁)/(x₂ - x₁). Plug in the values of the two points (ordered pairs) - make sure you're consistent re: point 2 vs point 1.

m = (7 - 1)/(-2 - 2) = 6/-4 or - 3/2. Any line with that slope will be || to the line through the given points.