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larisa [96]
3 years ago
9

Which of the following functions best describes this graph​

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0
It’s a functionnnnnnnnnnn
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Which is the equation in slope-intercept form for the line that passes through (-2, 15) and is perpendicular to 2x + 3y = 4?
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Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x + 3y = 4 into this form

Subtract 2x from both sides

3y = - 2x + 4 ( divide all terms by 3 )

y = - \frac{2}{3} x + \frac{4}{3} ← in slope- intercept form

with slope m = - \frac{2}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}, hence

y = \frac{3}{2} x + c ← is the partial equation of the perpendicular line

To find c substitute (- 2, 15) into the partial equation

15 = - 3 + c ⇒ c = 15 + 3 = 18

y = \frac{3}{2} x + 18 → B

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