Q 19 Find the equation of the line parallel to the line 3x - 4y + 2 = 0 - Maths - Straight Lines

Question

Q 19 Find the equation of the line parallel to the line 3x - 4y + 2
= 0 and passing through the point (- 2, 3)

Lovina Kansal · Accepted Answer

Dear student
The equation of the given line is3x-4y+2=0⇒y=3x+24⇒y=3x4+12 which is of the form y=mx+c∴Slope of the given line,m=34It is known that parallel lines have the same slope
∴Slope of the other line=m=34Now, the equation of the line that has a slope of 34 and passes through the point (-2,3) isy-3=34(x+2)⇒4y-12=3x+6⇒3x-4y+18=0
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Q.19. Find the equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (- 2, 3).