All categories

3 years ago

Find the slope and y intercept

Mathematics

1 answer:

zepelin [54]3 years ago

5 0

Answer:

slope = -1

y intercept (0,-2)

Step-by-step explanation:

We can use the two points to find the slope

(-4,2) and (1,-3)

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

= (-3 -2)/(1 - -4)

= -5 /(1+4)

= -5/5

- 1

The y intercept is where it crosses the y axis

y intercept is (0,-2)

You might be interested in

Help me with ths plz <br>a.5<br>b.6<br>c.7<br>d.8

Black_prince [1.1K]

The answer is b.6 hope that helps :)

8 0

4 years ago

An investment of P=1237.50 is compounded annually with a 6.75% APR . Find the value of the investment after 5 and a half years.

Ber [7]

Answer:

Under compound interest, not only does the principal generate interest, so does the previous accumulated interest. The future value F of P dollars compounded annually for t years with an annual percentage rate (APR) r expressed as a decimal is .

5 0

3 years ago

Read 2 more answers

The pyramids are similar. Find the volume, in cubic inches, of pyramid B. Explain

OleMash [197]

Answer:

37.03703704 in^3

4 0

3 years ago

Goranson and Hall (1980) explain that the probability of detecting a crack in an airplane wing is the product of p1, the probabi

PolarNik [594]

Answer:

a. The multiplication of these probabilities is justified because the inspections are isolated or don't have the same goal. For instance p1, would mean that not all the planes are checked, p2 that not all the parts in the plane are checked, and p3, that even if the the part where the crack could be inspected, people checking it could not notice it or it could be not identified easily.

b. As the events are independent and there are only two possible answers (detect the plane or not), a binomial distribution could be applied, therefore:

p=0.9*0.8*.5=36 (probability of detecting the crack)

n=3 (number of possibilities, in this case number of planes)

The probability in a binomial formula is given by

$P(X=x)=\frac{n!}{(n-x)!x!}*p^{x}*(1-p)^{n-x}$

Considering that the only possibility that is not being asked is the one of not detecting any crack which would mean x=0, then, we could find the probability as

$P(X\geq 1)$ =1- $P(X=0)$

$P(X\geq 1)=1-P(X=0)=1-\frac{3!}{3!0!} *0.36^{0} *0.64^{3} =0.737856$

Probability is then 0.737856

Step-by-step explanation:

5 0

3 years ago

What is the equation of the line that passes through the point (-2,14) and is perpendicular to the line with the following equat

tino4ka555 [31]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{5}}x-1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{5}{-2}\implies \cfrac{5}{2}}}$

so we're really looking for the equation of a line whose slope is 5/2 and it passes through (-2 , 14)

$(\stackrel{x_1}{-2}~,~\stackrel{y_1}{14})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{14}=\stackrel{m}{ \cfrac{5}{2}}(x-\stackrel{x_1}{(-2)}) \implies y -14= \cfrac{5}{2} (x +2) \\\\\\ y-14=\cfrac{5}{2}x+5\implies {\Large \begin{array}{llll} y=\cfrac{5}{2}x+19 \end{array}}$

3 0

1 year ago