3y = 5x - 2
y = 53×−2
None of these
3y = 2x + 5
Correct answer is D
3x+2y+4=0
Rearrange:
2y=−3x−4
Divide both sides by 2
y = −3×−42
y = −32×−2
∴ the gradient of the line 3x + 2y + 4 = 0 is −32
If two lines are perpendicular to each other ∴ m1xm2 = -1
Let m1=−32∴
From the equation of a line which is given as m = \frac {y - y_1}{x - x_1} where (x_1, y_1) = (2,3)
\therefore \frac {2}{3} = \frac {y - 3}{x - 2}
=3(y - 3) = 2(x - 2)
=3y - 9 = 2 x -4
=3y = 2 x -4 + 9
∴ 3y = 2x + 5
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