Cheryl pours 1 pint of milk from a full 1 gallon - id112060438, brandonhu

Question

Mathematics: Cheryl pours 1 pint of milk from a full 1 gallon jug. how much milk remains in the jug? a) 1 pint b) 3 pint c) 5 pint d) 7 pint

brandonhu · Accepted Answer

The slope-intercept form of the line is $y=\dfrac{1}{4}x$ .

Given:

A line passes through the two points (4,1) and (8,2) .

To find:

The slope-intercept form of the line.

Explanation:

The slope-intercept form of a line is:

y=mx+b

Where, is slope and is the y-intercept.

The line passes through the two points (4,1) and (8,2) . So, the equation of the line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-1=\dfrac{2-1}{8-4}(x-4)$

$y-1=\dfrac{1}{4}(x-4)$

Using the distributive property, we get

$y-1=\dfrac{1}{4}(x)+\dfrac{1}{4}(-4)$

$y=\dfrac{1}{4}x-1+1$

$y=\dfrac{1}{4}x$

Therefore, the slope-intercept form of the line is $y=\dfrac{1}{4}x$ .

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Cheryl pours 1 pint of milk from a full 1 gallon jug. how much milk remains in the jug?
a) 1 pint
b) 3 pint
c) 5 pint
d) 7 pint