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e-lub [12.9K]
3 years ago
7

Point slope equation that includes the points (5,-3) and a slope of -2

Mathematics
2 answers:
REY [17]3 years ago
7 0

Answer:

y+3=-2(x-5)

Step-by-step explanation:

The point slope form is y-y1=m(x-x1) where m= slope and y1 and x1 are your point.

max2010maxim [7]3 years ago
7 0

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies -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}{(-3)}=\stackrel{m}{-2}(x-\stackrel{x_1}{5})\implies y+3=-2(x-5)

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The difference of a number and 17 is more than 33
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Answer:

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Step-by-step explanation:

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5 0
4 years ago
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Item 4<br> Write the word sentence as an inequality.<br><br> A number b is at least −3.
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Step-by-step explanation:

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3 years ago
Find an equation for the line that passes through the points (5.-5) and (-4,-2)
ANEK [815]

Answer:

\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -5) and (-4, -2).

Substiute:

m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

-5=-\dfrac{1}{3}(5)+b

-5=-\dfrac{5}{3}+b               <em>add 5/3 to both sides</em>

-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}

Finally we have the equation of a line in the slope-intercept form:

y=-\dfrac{1}{3}x-\dfrac{10}{3}

Convert to the standard form <em>(Ax + By = C)</em>:

y=-\dfrac{1}{3}x-\dfrac{10}{3}          <em>multiply both sides by 3</em>

3y=-x-10              <em>add x to both sides</em>

x+3y=-10

4 0
3 years ago
Help me with this plzzz
kogti [31]
The answer is c 16475
5 0
3 years ago
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