2 years ago

Determine the intercepts of the line.

Mathematics

1 answer:

Ymorist [56]2 years ago

5 0

Step-by-step explanation:

The x-intercept is the value of x when y is 0

So you need to substitute:

0 = 4x + 7

-7 = 4x

-7/4 = x

(-7/4,0)

Similarly, the y-intercept is the value of y when x is 0

So:

y = 4x + 7

y = 4(0) + 7

y = 7

(0,7)

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$\text{Let the number of boys be x and number of girls be y.}\\
\\
\text{and there are total 416 students enrolled in the course. so we have}\\
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x+y=416 \ \ \ \ \ \ \ \ \ \ ......(i)\\
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\text{also given that there are seven boys to every six girls, that is}\\
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\frac{x}{y}=\frac{7}{6}$

$\Rightarrow 6x=7y\\
\\
\Rightarrow y=\frac{6x}{7}\\
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\text{substitute this value of y in (i), we get}\\
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x+\frac{6x}{7}=416\\
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\Rightarrow x=\frac{416\times 7}{13}\\
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