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What is the equation of the line that passes through the point (-7,7) and has a slope of -1 ? Answer:

What is the equation of the line that passes through the point (−7,7) (-7,7) and has a slope of −1-1 ?\newlineAnswer:

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Q. What is the equation of the line that passes through the point (−7,7) (-7,7) and has a slope of −1-1 ?\newlineAnswer:
  1. Identify slope and point: Identify the slope mm and the point (x,y)(x, y) through which the line passes.\newlineWe have:\newlineSlope mm: −1-1\newlinePoint: (−7,7)(-7, 7)\newlineWe will use the slope-intercept form of a line, which is y=mx+by = mx + b, to find the y-intercept bb.
  2. Substitute values to find y-intercept: Substitute the slope and the coordinates of the point into the slope-intercept equation to solve for bb. Using the point (−7,7)(-7, 7), we plug in the values into y=mx+by = mx + b: 7=(−1)(−7)+b7 = (-1)(-7) + b 7=7+b7 = 7 + b Now, subtract 77 from both sides to solve for bb: 7−7=b7 - 7 = b 0=b0 = b
  3. Write equation using slope and y-intercept: Write the equation of the line using the slope and the y-intercept.\newlineWe have:\newlineSlope mm: −1-1\newliney-intercept bb: 00\newlineThe equation of the line in slope-intercept form is:\newliney=mx+by = mx + b\newliney=−1x+0y = -1x + 0\newlineSince adding zero does not change the value, we can simplify the equation to:\newliney=−1xy = -1x

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