Question

Find an equation of the line that satisfies the given conditions.
Through
(−1, −13);
perpendicular to the line passing through
(2, −1) and (6, −3)

Answer 1

Okay so, we have a point and a line that goes through those two points.
Write the ecuation of the first line and then deduce the slope for both, use the ecuation for a line intersecting a point and you're done.

Answer 2

can you help

Answer 3

Sure.
Okay so, let's first look at the line that intersects two points.
we'll determine it's slope:
\[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]
Can you do that?

Answer 4

yes

Answer 5

-1/2

Answer 6

is that correct?

Answer 7

?

Answer 8

The ecuation would have this form:
\[m=\frac{ (-3)-(-1) }{ 6-2 }\]
Giving me a result of :
m= -1/2

Now, using that slope, we should deduce the slope of the second line with this:
\[m _{1}=-\frac{ 1 }{ m _{2} }\]
That means that the other slope, should be opposite to the one we just found, what value would that be for M2?

Answer 9

2

Answer 10

Great, now, the problem gives us the point, the line having that slope intersects,
So let's use this ecuation:
\[y-y _{1}=m(x-x _{1})\]
Where the x1 and y1 terms are the points we want to find.

Answer 11

how do i do that

Answer 12

the problem said the line whent through (-1,-13)
So the ecuation would look like this:
\[y+13=2(x+1)\]

Answer 13

so it would be y=2x+15

Answer 14

Correct!

Answer 15

Some scientists believe that the average surface temperature of the world has been rising steadily. The average surface temperature can be modeled by
T = 0.02t + 15.0
Use the equation to predict the average global surface temperature in 2090. (Round your answer to the nearest degree.)

Answer 16

Well, ther you have to simply replace