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GREYUIT [131]
2 years ago
7

Write the equation of the line with a slope of -4/5

Mathematics
1 answer:
svet-max [94.6K]2 years ago
6 0

Answer:

point slope form: y-3=-4(x-5)

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Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).
Svetradugi [14.3K]

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

\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}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5

well then therefore

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{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{1}{3}}(x-\stackrel{x_1}{1})\implies y+3=-\cfrac{1}{3}x+\cfrac{1}{3} \\\\\\ y=-\cfrac{1}{3}x+\cfrac{1}{3}-3\implies y=-\cfrac{1}{3}x-\cfrac{8}{3}

6 0
2 years ago
School QUICK CARE
grandymaker [24]

Answer:

Step-by-step explanation:

Total pencils = 48

Total erasers = 72

If we put 1 pencil and 1.5 eraser in each pouch then total pouches = 48 pouches

3 0
2 years ago
Suppose that an individual has a body fat percentage of 13.7% and weighs 164 pounds. How many pounds of her weight is made up of
Vinvika [58]
164×13.7/100=22.47 kg
3 0
3 years ago
Express 0.035 metre into km​
azamat

Answer:

0.000035km

Step-by-step explanation:

1km =1000m \\ x = 0.035m

use \:  \: cross \:  \: multipication

0.035 \times 1 = 1000x \\ 0.035 = 1000x \\  \frac{0.035}{1000}  =  \frac{1000x}{1000}  \\ x = 0.000035km

6 0
3 years ago
Read 2 more answers
23. Which number below could not be used to<br><br><br> PLEASEE HELP!!
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0.75 i think so lol HI
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2 years ago
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