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miskamm [114]
4 years ago
13

A line passes through the point (0, 0) and has a rise over run ratio of 4/3. Give two other points that the line passes through​

.
Mathematics
2 answers:
Sergio [31]4 years ago
8 0

Answer:

(3,4) and (6,8).

Step-by-step explanation:

Rise is equal to y and run is equal to x. If the fraction is 4/3, y is equal to 4 and 3 is equal to x. 3 across is 3 and 4 upwards is 4. Just keep adding 3,4 to get the following points the line passes through. Since we need two points, 3,4 and 6,8 would be the appropriate answers.

malfutka [58]4 years ago
5 0

Answer:

(4,3) (8,6)

Step-by-step explanation:

Fairly simple, if it starts at 0,0 then for the first point you can use the rise over run and go up 4 over 3 giving you (4,3) Then of course you can add on to that and getting (8,6)

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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}
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