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Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b

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Answer:

The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

  • y = -7x-2

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

  • m is the slope
  • b is the y-intercept

Given

  • The point (-1, 5)
  • Slope m = -7

substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

5 = -7(-1) + b

5 = 7+b

b = 5-7

b = -2

Thus, the y-intercept is: b = -2

now substituting b = -2 and m = -7 in the slope-intercept form of the line equation

y = mx+b

y = -7x+(-2)

y = -7x-2

Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

  • y = -7x-2

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