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Write an equation in standard form that has a slip of 6 and passes through (-1,3)

1 Answer

2 votes

Answer:

6x - y = -9

Explanation:

The point-slope form of an equation of a line:


y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point on a line

We have


m=6,\ (-1,\ 3)\to x_1=-1,\ y_1=3

Substitute:


y-3=6(x-(-1))


y-3=6(x+1)

Convert to the standard form Ax + By = C:


y-3=6(x+1) use the distributive property a(b + c) = ab + ac


y-3=6x+6 add 3 to both sides


y=6x+9 subtract 6x from both sides


-6x+y=9 change all signs


6x-y=-9

answered
User Art Spasky
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