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 \( \boldsymbol{x}-\boldsymbol{y}=\mathbf{3} \)

  • A. slope \( =2, y \) -intercept \( =-3 \)
  • B. slope \( =0, y \) -intercept \( =-3 \)
  • C. slope \( =1, y \) -intercept \( =-3 \)
  • D. slope \( =1, y \) -intercept \( =3 \)

Step-by-step solution

Rewrite the equation x - y = 3 in slope-intercept form y = mx + b. Subtract x from both sides: -y = -x + 3. Multiply by -1: y = x - 3. Thus slope m = 1 and y-intercept b = -3.
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