For the equation, y = -4X - 5, tell whether it's graph passes through the first quadrant. Explain how you know

2 answers:

maks197457 [2]3 years ago

4 0

it does not pass through quadrant I.

Both the slope and Y value are negative.

Meaning this equation goes up to the left and down right.

(you can use a graphing calculator (if you have one.) and plug this equation into the GRAPH.) It will show you the line.

Alina [70]3 years ago

3 0

It doesn't passes because:

1) It has a negative gradient
2) It has a y-intercept of -5

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2 years ago

Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

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3 years ago

Statistics question!!!!

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What’s the question??….

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2 years ago

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RideAnS [48]

Step-by-step explanation:

thanks for the free points!

have a great day!