- <img src="https://tex.z-dn.net/?f=%20-%206%20%2B%20%20-%205" id="TexFormula1" title=" - 6 + - 5" alt=" - 6 +

What is the point slope equation of the line with slope -12 that goes through the points (5, 3)?

Amanda [17]

The point-slope form of ay line is:

y-y1=m(x-x1), where m=slope and (x1,y1) is any point on the line.

In this case we are given that m=-12 and (x1,y1) is (5,3) so

y-3=-12(x-5)

8 0

4 years ago

Read 2 more answers

Y=2/3x+3,2x-3y=8 determine whether perpendicular or parallel

Studentka2010 [4]

Y=2/3x+3 so slope = 2/3

2x-3y=8
3y = 2x - 8
y = 2/3x - 8/3 so slope = 2/3

both equations have same slope = 2/3

so answer: parallel

6 0

3 years ago

Which equation represents the line shown on the coordinate grid below? (5, 0) (0,-2)

gizmo_the_mogwai [7]

Answer:

y=2/5x-2

Step-by-step explanation:

The main equation you will need for this is y=mx+b

First, you have to find the slope. the equation for that is $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

-2-0 = -2 (y)

0-5= -5 (x)

A good way to remember this is rise over run or y is always over x

Slope = 2/5 (The negatives cancel out)

The great thing about this is that they have already given you your "y" intercept or "b" which is -2

4 0

4 years ago

A hot air balloon is at an altitude of 240 feet. The balloon descends 30 feet per minute. What equation gives the altitude y, in

Sliva [168]

Since the altitude started at 240 ft then that will be the constant, and, since it descends 30 ft/min, then 30 will be your slope.

y=30x+240

7 0

3 years ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Vesna [10]

Answer:

b. an = 2 • (-3)^(n - 1)

Step-by-step explanation:

Before we test a solution or two, we can easily discard most of them.

We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). That already excludes answers A and C.

Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.

We can test both D and B with n = 2, to obtain -6

Let's test answer D before:

$a_{2} = 2 * (-3)^{2+1} = 2 * (-3)^{3} = 2 * -27 = -54$