Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines

Which of the following is/are true regarding the following linear equation:

Which of the following is/are true regarding the following linear equation: \( \boldsymbol{y}=\mathbf{4} \boldsymbol{x}-\frac{\mathbf{5}}{\mathbf{2}} \)

  • A. It passes through (2.5,0) and \( m=-4 \)
  • B. It passes through (2.5,0) and \( m=4 \)
  • C. It passes through (0,2.5) and \( m=-4 \)
  • D. It passes through (0,-2.5) and \( m=4 \)

Step-by-step solution

The equation y = 4x - 5/2 is in slope-intercept form y = mx + c, so slope m = 4 and y-intercept c = -5/2 = -2.5. Thus the line passes through (0, -2.5). Option D correctly states these facts.
Practise more in this unitView MCQsSign up for full question bank