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Jan 258:00:56 AM

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Write the equation of the line that passes thought the points (0,4) and (-9, -3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

User Atomicts
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1 Answer

10 votes

Answer:

The equation of the straight line in point-slope form


y - 4 = (7)/(9) (x-0)

The equation of the straight line

7x -9y +36 =0

Explanation:

Step(i):-

Given that the points (0,4) and (-9,-3)

The slope of the line


m = (y_(2) - y_(1) )/(x_(2)- x_(1) ) = (-3-4)/(-9-0) = (7)/(9)

Step(ii):-

Equation of the straight line passing through the point (0,4) and having slope m = 7/9


y - y_(1) = m (x-x_(1) )


y - 4 = (7)/(9) (x-0)

9 y - 36 = 7x

9y = 7x + 36


y = (7x)/(9) +(36)/(9)

Slope - intercept form


y = (7x)/(9) +4

Final answer:-

The equation of the straight line in point-slope form


y - 4 = (7)/(9) (x-0)

The equation of the straight line

7x -9y +36 =0

User INeal
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7.6k points