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Alenkasestr [34]

3 years ago

9

find the slope and y-intercept for a line passing through the following two points,then create a slope intercept equation (-2,2)

and (-5,-4)

1 answer:

slava [35]3 years ago

4 0

Answer:

Slope: 2

y intercept: 6

Equation: y = 2x+6

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3 years ago

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The last one need the right answer please

Llana [10]

Answer:

Part 1) The unit rate is $16\frac{dollars}{ounce}$

Part 2) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 3) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 4) The unit rate is $4\frac{dollars}{ounce}$

see the attached figure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{d2-d1}{n2-n1}$

where

d ----> number of dollars (dependent variable or output value)

n ---> number of ounces (independent variable or input value)

Remember that the slope of the linear equation is the same that the unit rate

<u><em>Verify each case</em></u>

1) we have

$d=16n$

This is a proportional relationship between the variables d and n

The slope is

$m=16\frac{dollars}{ounce}$

therefore

The unit rate is $16\frac{dollars}{ounce}$

2) we have

<em>First table</em>

take two points from the table

(4,1) and (16,4)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{4-1}{16-4}$

$m=\frac{3}{12}\frac{dollars}{ounce}$

simplify

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

3) we have

$n=4d$

This is a proportional relationship between the variables d and n

isolate the variable d

$d=\frac{1}{4}n$

The slope is

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

4) we have

<em>Second table</em>

take two points from the table

(1,4) and (2,8)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{8-4}{2-1}$

$m=4\frac{dollars}{ounce}$

therefore

The unit rate is $4\frac{dollars}{ounce}$

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4 years ago