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Write the equation of the line in slope intercept form that has a y-intercept of -3 and passes through (-5, 2).

User Phat Huynh
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1 Answer

7 votes
7 votes

Answer:

y = -3x - 13

Explanation:

The equation of the line in slope intercept form: y = mx + b

If the line: y = mx + b passes through point (x₁, y₁) that means the equation:

y₁ = mx₁ + b is true

b = -3

(-5, 2) ⇒ x₁ = -5, y₁ = 2

Therefore:

2 = -3(-5) + b

2 = 15 + b

b = -13

So, the equation of the line in slope intercept form that has a y-intercept of -3 and passes through (-5, 2):

y = -3x - 13

User Vlad Alexeev
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