Maths · The slope of a line, parallel and perpendicular lines
Draw the graph for the linear equation and select the correct option:
Draw the graph for the linear equation \( 3 y+5=0 \) and select the correct option:
- A. The line is parallel to the \( x \) -axis and passes through \( \left(0,-\frac{5}{3}\right) \)
- B. The line is parallel to the \( y \) -axis and passes through \( \left(0,-\frac{5}{3}\right) \)
- C. The line is parallel to the \( x \) -axis and passes through \( \left(0, \frac{5}{3}\right) \)
- D. The line is parallel to the \( y \) -axis and passes through \( \left(0, \frac{5}{3}\right) \)
Step-by-step solution
Rewrite the equation 3y+5=0 as y=-5/3. This represents a horizontal line where y is constant, so it is parallel to the x-axis. For any x, y=-5/3, hence it passes through (0,-5/3).
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