Question

Hi! I know this may be cheating but I just wanna ask if one of yall could tell me the answer just for these 3 questions, it would be a bunch of help! =,)

1. Write the equation in point-slope form of the line that passes through the given points. Then write in point-slope form. (−6,6) 𝑎𝑛𝑑 (3,3)

2. Are the graphs of the equations = −2 + 3 and 2 + = 7, parallel, perpendicular, or neither? Explain.

3. Determine whether this statement is always, sometimes, or never true. Two lines with the same slope and different y-intercepts are perpendicular.

Answer 1

1.

m = tan θ

m = ( y2 - y1 ) / ( x2 - x1)

In this case:

x1 = - 6 , y1 = 6

x2 = 3 , y2 = 3

m = ( y2 - y1 ) / ( x2 - x1)

m = ( 3 - 6 ) / [ 3 - ( - 6 ) ]

m = - 3 / ( 3 + 6 )

m = - 3 / 9

m = 3 ∙ ( - 1 ) / 3 ∙ 3

m = - 1 / 3


y - y1 = m ( x - x1 )

y - 6 = ( - 1 / 3 ) [ x - ( - 6 ) ]

y - 6 = ( - 1 / 3 ) ( x + 6 )

y - 6 = ( - 1 / 3 ) x + ( - 1 / 3 ) ∙ 6

y - 6 = ( - 1 / 3 ) x - 6 / 3

y - 6 = ( - 1 / 3 ) x - 2

Add 6 to both sides.

y = ( - 1 / 3 ) x + 4


2.

This as it is written means nothing.


3.

Two lines are parallel if they have both the same slope and different y-intercepts.

So two lines with the same slope and different y-intercepts are parallel.

Answer 2

Thank you sm Bosnian!! You have no idea how happy I am!! Thank u again!!!!