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alexdok [17]
3 years ago
6

Find the slope of line that passes through (5,6) and (7,9)

Mathematics
1 answer:
Debora [2.8K]3 years ago
5 0

Answer: \frac{3}{2}

Step-by-step explanation:

m=\frac{9-6}{7-5}

  =\frac{3}{2}

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The answers are :

10) 25 : 24

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Boys preferring orange juice : Boys preferring grapefruit juice

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Remember :

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4 0
1 year ago
If you were asked to load 225 bixes on a truck , and boxes are crated. With each nine boxes how many crates would you need to lo
Lubov Fominskaja [6]
225 divided by 9 to figure out the number of crates needed.
225/9=25

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4 0
3 years ago
Which number line represents the solution set for the inequality 4(x + 3) 5 2 2X?
tatuchka [14]

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-2

Step-by-step explanation:

6 0
3 years ago
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
2 years ago
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