Question

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.

Answer 1

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