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mariarad [96]
3 years ago
14

Find an equation of a line that goes through the points (1,6) and (4, -2). Write your answer in the form y=mx + y.

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

The desired equation is y = (-8/3)x + 26/3.

Step-by-step explanation:

Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y.  Thus, the slope of the line thru these two points is m = rise / run = -8/3.

Using the slope-intercept form of the eq'n of a straight line  and inserting the data given (slope = m = -8/3, x = 4,  y = -2), we get:

y = mx + b => -2 = (-8/3)(4) + b, or  -2 = -32/3 + b

Multiply all terms by 3 to clear out the fraction:

-6 = -32 + 3b.

Then 26 = 3b, and b = 26/3.

The desired equation is y = (-8/3)x + 26/3.

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0.65

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5 0
3 years ago
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During a basketball game, one of the players scores 8 points for her team. If the points she scored represent 20% of the team's
muminat

Answer:

40points

Step-by-step explanation:

Given data

Let the total points the team scored be x

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0.2x= 8

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4 0
3 years ago
Lily's tomato plant grew 3.5 cm in one week. What is this number rounded to the nearest cm?
podryga [215]
3.5
cm would be the first whole number.
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8 0
4 years ago
Given: 9x > -36.
devlian [24]
Solution set = {x | x > -4}
7 0
3 years ago
A packet contains blue and yellow flower seeds in thwle ratio 3:4. there are 32 floweer seeds​
Sliva [168]

Note: We need to find the number of seeds of each color.

Given:

A packet contains blue and yellow flower seeds in the ratio 3:4.

There are 32 flower seeds​.

To find:

The number of blue and yellow flower seeds.

Solution:

Let the number of blue and yellow flower seeds are 3x and 4x respectively.

There are 32 flower seeds​.

3x+4x=32

7x=32

x=\dfrac{32}{7}

x\approx 4.57

Now,

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