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Neko [114]
3 years ago
13

zane and shelby's grandfather is 5 times as old as the total of their ages. If their grandfather is 70 and Shelby is 6, how many

years old is Zane?
Mathematics
1 answer:
wel3 years ago
7 0
G=5(z+s)
70=5(z+6)
70=5z+30
40=5z
z=8

Zane is 8
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<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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Answer:

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