All categories

3 years ago

Find the slope intercept form of the equation of the line through-2,2 and 2,-5.

1 answer:

6 0

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-2)}}}\implies \cfrac{-7}{2+2}\implies -\cfrac{7}{4}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-\cfrac{7}{4}}[x-\stackrel{x_1}{(-2)}]\implies y-2=-\cfrac{7}{4}(x+2) \\\\\\ y-2=-\cfrac{7}{4}x-\cfrac{7}{2}\implies y=-\cfrac{7}{4}x-\cfrac{7}{2}+2\implies y=-\cfrac{7}{4}x-\cfrac{3}{2}$

You might be interested in

Question 20 of 21

RoseWind [281]

Answer: A. (0,2)

Y-Intercept - (0,2)

No X-Intercept.

Step-by-step explanation: f(x)=2*3 is a horizontal line to the x-axis, which means that the y-intercept is (0,2) and is no x-intercept.

Hope this helps you out! ☺

7 0

3 years ago

Write the sentence as an equation. <br><br> The quotient of 14 and the number is 1/7 ?

Rudiy27

Answer:

14/x = 1/7.

Step-by-step explanation:

Let x be the number:

14/x = 1/7

3 0

3 years ago

Toni cleans the circular dining room table whose diameter is 6 feet. The label on the can of cleanser claims coverage for 80 squ

jeka94

Answer:

'no'

Step-by-step explanation:

8 0

3 years ago

4. Triangle TRY was reduced to form triangle PIE.

ElenaW [278]

I’m not really sure I’m just gonna comment cuz I need to answer other ppl

7 0

3 years ago

Help quickly please!!!

Helen [10]

Answer:

1) 0.008

2) 0.22

3) 0.01

4) 0.2

5) 0.1%

6) 758%

7) 3%

8) 0.7%

9) 9.19

10) 2.5

11) 1

12) 8.613

13) 4

14) 6.75

15) 15.45

16) 42.1

17) 5

18) Whatever number you can only see the 1 of, because it didn't make it into the picture.

Hope this helps!

3 0

3 years ago