alleryEquation of the line passing through (3, 4) and parallel to the line 2x − 3y = 5 is
A2x − 3y − 6 = 0
B3x − 2y + 1 = 0
C2x + 3y = 18
D2x − 3y + 6 = 0
Answer & Solution
Correct answer: D. 2x − 3y + 6 = 0
Slope of 2x − 3y = 5 is 2/3. Point-slope through (3, 4): y − 4 = (2/3)(x − 3).
**Clearing fractions:** 3y − 12 = 2x − 6
⇒ 2x − 3y + 6 = 0. Verify at (3, 4): 6 − 12 + 6 = 0.
Keep practising Straight Lines and Conic Sections
Browse all Straight Lines and Conic Sections questions for GRE, or explore more Mathematics topics.
Related questions
The line 3x − 4y + 12 = 0 cuts the y-axis atThe intercept form of the equation of a line making intercepts a and b on the x- and y-axeThe distance between the parallel lines 3x + 4y = 7 and 3x + 4y = 12 isThe angle θ between two lines with slopes m₁ and m₂ satisfiesThe distance from the point (0, 0) to the line 3x + 4y − 25 = 0 isThe equation of the line passing through (2, −1) with slope 3 isThe slope-intercept form y = mx + c of the line 3x + 4y = 8 gives a slope ofThe slope of the line joining (2, 3) and (5, 11) is