em58596 em58596
  • 25-02-2022
  • Mathematics
contestada

What is the equation of the line that passes through the point (-2,-8) and has a slope of 1?

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sqdancefan
sqdancefan sqdancefan
  • 27-02-2022

Answer:

  y = x -6

Step-by-step explanation:

You can start with the slope-intercept form of the equation for a line:

  y = mx +b . . . . . . line with slope m and y-intercept b

and rearrange it to help you find the y-intercept:

  b = y - mx

For the given point and slope, the y-intercept is ...

  b = -8 -(1)(-2) = -8 +2 = -6

Then the equation for a line with slope m=1 and y-intercept b=-6 is ...

  y = x -6

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