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

Find the slope and -intercept of the line

Find the slope and \( y \) -intercept of the line \( 0.2 x-y=1.2 \)

  • A. slope \( =0.2, y \) -intercept \( =-1.2 \)
  • B. slope \( =1.2, y \) -intercept \( =-1.2 \)
  • C. slope \( =0.2, y \) -intercept \( =-2.2 \)
  • D. slope \( =0.2, y \) -intercept \( =-1.3 \)

Step-by-step solution

Start with equation 0.2x - y = 1.2. Solve for y: subtract 0.2x from both sides gives -y = -0.2x + 1.2; multiply by -1 to get y = 0.2x - 1.2. This is in slope-intercept form y = mx + b, where m is slope and b is y-intercept. Thus slope = 0.2 and y-intercept = -1.2.
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