Tamara is analyzing a line that passes through the point (−5,3) and has a slope of −1 . How should she write the equation of the line in slope-intercept form?(1 point) Responses y=x−1 y equals x minus 1 y=−x−5 y equals negative x minus 5 y=−x+3 y equals negative x plus 3 y=−x−2

1 answer

To write the equation of a line in slope-intercept form y=mx+b, you need the slope m and the y-intercept b.

Given:

  • Point: (5,3)
  • Slope: 1
  1. Start with the slope-intercept form: y=mx+b Substitute the slope m=1: y=x+b

  2. Now, use the point (5,3) to find b: Substitute x=5 and y=3: 3=(5)+b 3=5+b Solving for b: b=35 b=2

  3. Now, substitute back to get the equation of the line: y=x2

So the correct response is: y=x2