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Aloiza [94]
3 years ago
9

Rayshawn is applying mulch along the fence in his backyard. For every 3 feet of length along the fence, he needs 2 bags of mulch

. The fence is 126 feet long, he has already finished 18 feet. How many more bags of mulch does he need?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0
Rayshawn will need 72 more bags of mulch.
126 minus 18
108 divided by 3
36 times 2
equals 72
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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)
LenaWriter [7]

Answer:

The slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (-1, -2)
  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

m=\frac{3}{2}

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

4=\frac{3}{2}\left(3\right)+b

switch sides

\frac{3}{2}\left(3\right)+b=4

\frac{9}{2}+b=4

subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
8 0
3 years ago
What is the y-intercept of the equation 2g(x)+2x=4
uysha [10]

2g(x) +2x=4

2( g(x) +x) = 2(2)

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To get y intercept,

put x=0

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g(x) = 2

So,y intercept = 2

7 0
3 years ago
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