a line that passes through the point (–1, 3) has a slope of 2. find another point on the line. a. (–3, 2) b. (0, 5) c. (1, 5) d.

(1, 4)

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

4 0

$The\ slope-point\ form:y-y_1=m(x-x_1)\\--------------------\\m=2;\ (-1;\ 3)\to x_1=-1\ and\ y_1=3\\\\y-3=2(x-(-1))\\y-3=2(x+1)\\y-3=2x+2\ \ \ |add\ 3\ to\ both\ sides\\y=2x+5\\\\a)\ (-3;\ 2)\\L=2;\ R=2(-3)+5=-6+5=-1\\L\neq R\\\\b)\ (0;\ 5)\\L=5;\ R=2(0)+5=5\\L=R\\\\c)\ (1;\ 5)\\L=5;\ R=2\cdot1+5=2+5=7\\L\neq R\\\\d)\ (1;\ 4)\\L=4;\ R=2\cdot1+5=2+5=7\\L\neq R\\\\Answer:\boxed{b)\ (0;\ 5)}$

You might be interested in

Trigonometry please help

kotykmax [81]

Answer:

7.5

Step-by-step explanation:

$x = 10 \tan \: 37 \degree \\ \\ \therefore \: x = 7.535540501 \\ \\ \therefore \: x \approx 7.5$

3 0

2 years ago

Read 2 more answers

Which survey is biased?

scoundrel [369]

Answer:

Step-by-step explanation:

alotta ppl go to the mall cuz they like to shop there, so if u ask ppl at the mall their fav place to shop, many will say "the mall"

4 0

2 years ago

Read 2 more answers

Factor completely.<br><br> Please show and explain steps!

Fudgin [204]

3x² (6x² - 13x - 5) =

3x² (2x - 5) (2x+1) .

3 0

2 years ago

Leno4ka [110]

Answer:

$\frac{s^2-25}{(s^2+25)^2}$

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given: $\mathcal{L}[t \cos 5t]=(-1)F'(s)$ with $F(s)=\mathcal{L}[\cos 5t]$ .

Now, $F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt$ . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that $F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt$ .

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

$F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s)$ .