Question

Nov 19, 9:16:28 P
What is the equation of the line that passes through the point (-2,-8) and has a
slope of 1

Answer 1

Answer:

y = x - 6

Step-by-step explanation:

y = mx + b

m = slope

Slope = 1; (-2, -8)

                 (x₁, y₁)

y - y₁ = m(x - x₁)

y - (-8) = 1(x - (-2)

y + 8 = 1(x + 2)

y + 8 = x + 2

   -8         -8

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y = x - 6

I hope this helps!

Answer 2

Answer:

• The line is y = x - 6

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Point-slope equation

• y - y₁ = m(x - x₁), where (x₁, y₁) - point on the line, m- slope

If the slope is m = 1, then it becomes

• y - y₁ = x - x₁

Substitute the coordinates of (-2, -8)

• y - (-8) = x - (-2)
• y + 8 = x + 2
• y = x + 2 - 8
• y = x - 6