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nikitadnepr [17]
3 years ago
6

Mrs. Jackson made a line plot of the times it took students to complete a project.

Mathematics
1 answer:
Komok [63]3 years ago
8 0
This value is very different from the other values
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Step-by-step explanation:

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A normal body temperature for a human is approximately 98° Fahrenheit. What is this temperature in degrees Celsius? Round your a
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What is the y intercept of a graph containing the two points (3,1) and (7,-2)?
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The y intercept of a graph containing the two points (3,1) and (7,-2) is \frac{13}{4}

<em><u>Solution:</u></em>

Given points are (3, 1) and (7, -2)

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

<em><u>Let us first find the slope of line</u></em>

The slope of line is given as:

m = \frac{y_2-y_1}{x_2-x_1}

Here the points are (3, 1) and (7, -2)

(x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)

Substituting in formula, we get

m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}

To find the y intercept:

\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }

1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}

Thus  y -intercept is \frac{13}{4}

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