Complete the equation of the line through (-1,6)(?1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (7,-2)(7,?2)left parenthesis, 7, comma, minus, 2, right parenthesis. Use exact numbers. Y=y=y, equals
Accepted Solution
A:
Answer: y = -x +5Step-by-step explanation:The 2-point form of the equation of a line is useful for this. y = (y2 -y1)/(x2 -x1)(x -x1) + y1 . . . 2-point form of equation for a line y = (-2 -6)/(7 -(-1))/(x -(-1)) +6 . . . . substitute the give points y = -8/8(x +1) +6 . . . . . . . . . . . . . . simplify a bit; next, simplify more y = -x +5