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salantis [7]
2 years ago
8

Write an equation of a line in point-slope form that passes through (-4,-7) and has a slope of -2

Mathematics
1 answer:
xeze [42]2 years ago
8 0
\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})
\qquad \qquad \qquad 
% slope  = m
slope =  m\implies -2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-7)=-2[x-(-4)]
\\\\\\
y+7=-2(x+4)
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Find the constant rate of change for each linear function and interpret its meaning
Marina CMI [18]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}

3 0
2 years ago
Un automovil gasta 6 litros cada 110 kilometros ¿cuantos kilometros recorrera con 22 litros
natulia [17]

Answer:

403.33 kilometros

Step-by-step explanation:

De la pregunta anterior:

6 litros = 110 kilómetros

22 litros = x

Cruz multiplicar

6 litros × x = 22 litros × 110 kilómetros

x = 22 litros × 110 kilómetros / 6 litros

x = 403.33 kilometros

Así, 22 litros recorrerán 403.33 kilómetros

7 0
3 years ago
The equation of line CD is y = −2x − 2. What is the equation of a line parallel to line CD in slope-intercept form that contains
aniked [119]

Answer:

\[y=-2x+13\]

Step-by-step explanation:

Equation of the line CD is given as \[y=-2x-2\]

Slope of the line CD = -2

Slope of the line parallel to CD = -2

Equation of the line parallel to CD is given by \[y=mx+c\]

\[y=-2x+c\]

But this line passes through (4,5)

Substituting the values in the equation:

\[5=-2*(4)+c\]

=> \[c=5+8=13\]

So the overall equation of the parallel line is given by \[y=-2x+13\]

6 0
2 years ago
Solve for x in the equation x^2-12+36=90
sergij07 [2.7K]
X^2-12+36=90
(x-6)^2=90
x-6= sqrt of 90
x-6= +- 3 sqrt of 10
x = 6 +- 3 sqrt of 10 
          
5 0
3 years ago
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kifflom [539]
The answer I believe is 3:4 but I'm not for sure
6 0
3 years ago
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