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Lubov Fominskaja [6]
2 years ago
7

What is the equation of a line that passes through the point (-1, -7) and has a slope of 5?

Mathematics
1 answer:
yulyashka [42]2 years ago
7 0

Answer:

y=5x-2

or

5x-y-2=0

Step-by-step explanation:

  • Line is passing through the point (-1, -7)

  • \implies x_1 = -1,\: y_1=-7

  • Slope of line (m) = 5

  • Equation of line in point-slope form is given as: y- y_1=m(x-x_1)

  • Substituting the values of \implies x_1,\: y_1\: \&\: m in the above equation, we find:

  • y- (-7)=5[x-(-1)]

  • \implies  y+7=5[x+1]

  • \implies  y+7=5x+5

  • \implies  y=5x+5-7

  • \implies  y=5x-2

  • \implies  5x-y-2=0
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