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Otrada [13]
3 years ago
10

Needs 20 characters even though the picture says it all.

Mathematics
1 answer:
taurus [48]3 years ago
6 0
It is b I seen it on the test yesterday on Plato
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2. What is the equation in slope-intercept form of the line that passes through thepoints (-4, 47) and (2, -16)?O21 979y=-2*+ 21
trapecia [35]

hello

the points given are (-4, 47) and (2, -16)

let's find the intercept of this equation

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ x_2=2 \\ y_2=-16 \\ y_1=47 \\ x_1=-4 \end{gathered}\begin{gathered} m=\frac{-16-47}{2-(-4)} \\ m=-\frac{21}{2} \\ slope=-\frac{21}{2} \end{gathered}

now, since we know the value of the slope, we can use that in the standard equation on a straight line

the standard equation of a straight line is given as

\begin{gathered} y=mx+c \\ m=\text{slope} \\ c=\text{intercept} \end{gathered}

we can pick any of the points and solve for intercept

let's use (2, -16)

\begin{gathered} x=2 \\ y=-16 \\ y=mx+c \\ m=-\frac{21}{2} \\ -16=-\frac{21}{2}(2)+c \\ -16=-21+c \\ \text{collect like terms} \\ c=-16+21 \\ c=5 \end{gathered}

now we know the value of intercept (c) = 5 and the slope (m) = 21/2

let's use this to write equation of the straight line

\begin{gathered} y=mx+c \\ y=-\frac{21}{2}x+5 \end{gathered}

from the calculations above, the equation of the straight line is given as y = -21/2x + 5

8 0
1 year ago
Cheyanne is saving for a car. The amount she has saved for the car, f(x), can be represented by the function f(x) = 65x + 750, w
lisabon 2012 [21]
She initially had $700 saved before working
6 0
3 years ago
Which conic section does the equation below describe? x+2^2=4y-3
Dmitry [639]

Answer: Circle

Step-by-step explanation:

6 0
3 years ago
Pls answer this for brainly
zimovet [89]

Answer:

54

Step-by-step explanation:

x-1=3

2xy=24

3+24=27

27·2=54

4 0
3 years ago
Read 2 more answers
Please help assaaaappp
inessss [21]
5k^2 = 25 ^ 3 = 15625
5k^6 = 15625
Hope this helps
7 0
4 years ago
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