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kicyunya [14]
3 years ago
5

what is the equation in slope intercept form of the line that passes through the point (-4,47) and (2,-16)

Mathematics
1 answer:
Vilka [71]3 years ago
6 0

The slope-intercept form:

y=mx+b

The formula of a slope:

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

We have the points (-4, 47) and (2, -16). Substitute:

m=\dfrac{-16-47}{2-(-4)}=\dfrac{-63}{6}=-\dfrac{63:3}{6:3}=-\dfrac{21}{2}

Therefore we have:

y=-\dfrac{21}{2}x+b

Put the coordinates of the point (2, -16) to the equation:

-16=-\dfrac{21}{2}(2)+b\\\\-16=-21+b\qquad\text{add 21 from both sides}\\\\5=b\to b=5

Answer: \boxed{y=-\dfrac{21}{2}x+5}

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Answer: 156 miles

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Finally, do 312-156 that  is 156.

156 miles is the answer

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HELP ME PLEASE!!! A Kite flying in the air has a 12 feet line attached to it. It's line is pulled and cast an 11 feet shadow. Fi
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5 0
3 years ago
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rational

Step-by-step explanation:

5 0
3 years ago
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2 Points
inn [45]
Technically this is a line segment, but since that is not an option. choose the answer “line”
3 0
3 years ago
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YOOO MARKIN BRAINIEST !!
Brilliant_brown [7]
Y ≥ 2x-5
y-intercept is -5, from there go 2 up 1 over ( slope is rise over run)
greater than or equal so the line is connected
now find the shaded area by plugging in (0,0)
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0 ≥-5 is correct so shade the area that to the left of the line, (the whole area that including (0,0))

y<-3x
y intercept is 0 so start from there and go down 3 right 1 (or go up 3 left 1)
broken like cause no or equal sign
the (0,0) is on the line so use (1,1) to find the answer
1<-3(1) is incorrect so shade the area that dies not include (1,1) or the entire area to the left of that line

you can see the section where both shaded area cross, thats the answer so erase every area you shaded that isn’t the answer so
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3 years ago
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