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10 votes
10 votes
A line that includes the point (1, 10) has a slope of 6. What is its equation in slope-intercept

form?

User Yonatan Brand
by
3.0k points

1 Answer

20 votes
20 votes

Answer:

y = 6x + 4

Explanation:

The point-slope form of the equation that describes the line with a slope of m and including the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = 6

(1, 10) ⇒ x₀ = 1, y₀ = 10

Therefore:

y - 10 = 6(x - 1) ← the point-slope form

y - 10 = 6x - 6 {add 10 to both sides}

y = 6x + 4 ← the slope-intercept form

User Stwienert
by
2.6k points
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