Question

I need someone who is really good at algebra to help me. I will fan and medal!

Answer 1

what is your question?

Answer 2

@WeepingAngel123 PLEASE HELP ME! I will fail if I don't have this and I literally do not understand.

Answer 3

first know which line equation corresponds to busy street and country road

Answer 4

Busy street: x-4
country road: -2x+3

Answer 5

now what?

Answer 6

@VeritasVosLiberabit

Answer 7

How you want to find a new line that is similar to busy street but also passes through park

Answer 8

Now*

Answer 9

So what part of the line equation for busy street must change and which should remain the same in order to be parallel with park?

Answer 10

I literally have no clue.

Answer 11

So you should know first what the meaning behind the equation y=mx+b is. First tell me what does each letter represent on the graph?

Answer 12

this is slope-intercept form if you want to refer to your class notes

Answer 13

I should also probably rewrite busy street and country road like this for you:

Busy street: y=x-4
Country road: y=-2x+3

Answer 14

could you just work the first one out for me? I will do the rest.

Answer 15

Alright. you want a line equation that is parallel to busy road and passes through park. So this means you need a line that has the same slope as busy road but a different y-intercept (same m, different b). So your new equation should look like this:
\[y=(1)x+b\]
plug in the x and y coordinates that you find from the graph where park is located and solve for b
\[4=-8+b\]
b=12 is your new y-intercept so the line equation that passes through park and is parallel to busy road becomes
\[y=x+12\]

Answer 16

Busy street is y = x - 4
the park is at points (-8,4)..x = -8 and y = 4

a parallel line will have the same slope...the slope in y = mx + b form is in the m position. So the slope of y = x - 4 is 1.

now we take y = mx + b and sub 1 in for m, the slope.
(-8,4)..x = -8 and y = 4
now sub
4 = 1(-8) + b
4 = -8 + b
4 + 8 = b
12 = b

so your parallel line is : y = x + 12

Answer 17

country road is y = -2x + 3
the house is at points (6,8)

a perpendicular line will have the negative reciprocal of the slope given. So our slope is -2. To find the negative reciprocal, " flip " the slope and change the sign. Making the negative reciprocal of -2 = 1/2

now use y = mx + b
slope(m) = 1/2
(6,8)..x = 6 and y = 8
now sub
8 = 1/2(6) + b
8 = 3 + b
8 - 3 = b
5 = b

so our perpendicular equation is : y = 1/2x + 5

Answer 18

@texaschic101 you are the best!