Apply the distributive property to write an equivalent expression 4(2+w)

Mathematics

1 answer:

Alja [10]3 years ago

8 0

Hi 4w+8 is the answer

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What is the equation of the line that is perpendicular to and has the same y-intercept as the given line?

Anastasy [175]

ANSWER

The required equation is

$y = 5x + 1$

EXPLANATION

The given line passes through the point

$(5,0) \: and \: (0,1)$

The slope of this line is given by the formula,

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

This implies that,

$m = \frac{1 - 0}{0 - 5}$

$m = - \frac{1}{5}$

The product of the slope of the two perpendicular lines should be negative one.

Thus,

$m_1\times m_2=-1$
This implies that,

$- \frac{1}{5} \times m_2=-1$

We multiply through by
$- 5$
to obtain,

$m_2=-1 \times - 5$

$m_2=5$
Therefore the slope of the line perpendicular to the given line is
$5.$

We use the slope intercept formula
$y =m x + b$

where
$b = 1$
is the y-value of the y-intercept.

We therefore have,

$y = 5x + 1$

as the required equation.

The correct answer is C.

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3 years ago

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Evaluate 5x+2y-6 when x=3 and y=2<br> show how you got the answer

VLD [36.1K]

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Is (14,7) proportional?

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