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Enter the equation that describes the line in slope-intercept form. The points (7, 9) and (2, −9) are on the line y = .

User Bunkar
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1 Answer

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Given:

A line passes through two points (7, 9) and (2, −9).

To find:

The slope intercept form of the line.

Solution:

A line passes through two points (7, 9) and (2, −9), so the equation of line is


y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)


y-9=(-9-9)/(2-7)(x-7)


y-9=(-18)/(-5)(x-7)


y-9=(18)/(5)(x-7)

Using distributive property, we get


y-9=(18)/(5)(x)-(126)/(5)


y=(18)/(5)(x)-(126)/(5)+9


y=(18)/(5)x+(-126+45)/(5)


y=(18)/(5)x-(81)/(5)

Therefore, the slope intercept form of the line is
y=(18)/(5)x-(81)/(5).

User Eternal
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