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2 years ago

Ok how do you add pictures

1 answer:

5 0

Ohh well when u type in another question it should show a pic option at the bottom once your done typing whatever is u wish to ask :)

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Find the equation of a line passing through (-4,-3) and perpendicular to<br> 3 x + 2 y = 14.

Reil [10]

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

$3x+2y=14\implies 2y=-3x+14\implies y=\cfrac{-3x+14}{2}\implies y = \cfrac{-3x}{2}+\cfrac{14}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so therefore

$\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3}\implies \cfrac{2}{3}}}$

so we're really looking for the equation of a line whose slope is 2/3 and passes through (-4 , -3)

$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{2}{3}}(x-\stackrel{x_1}{(-4)}) \implies y+3=\cfrac{2}{3}(x+4) \\\\\\ y+3=\cfrac{2}{3}x+\cfrac{8}{3}\implies y=\cfrac{2}{3}x+\cfrac{8}{3}-3\implies y=\cfrac{2}{3}x-\cfrac{1}{3}$

3 0

1 year ago

Someone please help. i’ve been staring at this for 20 minutes and i’m so confused.

lorasvet [3.4K]

Answer:

ummm sry im not sureee

Step-by-step explanation:

8 0

2 years ago

Which of the following numbers is not between -2.6 and 1.3 on the number line?

Naya [18.7K]

Answer:

1.4

Step-by-step explanation:

-2.6---------------1.3

0.5 is between

-2.1 is between

1.4 is not between

-1.8 is between

7 0

3 years ago

Which integer is closest to 0 on the number line?

marishachu [46]

1 is the closest to 0 on the number line. Hope this helps!!!!!!!!

7 0

2 years ago

Read 2 more answers

Does anyone remember how to do this???? i dont need the steps.

Paladinen [302]

Answer:

im sorry I actually forgot

Step-by-step explanation:

hope we can be friends

can i please get brainliest

4 0

2 years ago

Ok how do you add pictures​

Ok how do you add pictures