Write the equation of the line in standard form that passes through the point (3,-5) and is parallel to the line
y = -x +4.

x + y = -2

Step-by-step explanation:

Parallel lines have the same slope, so the line's slope will also be -1.

Plug in the slope and the given point into y = mx + b to find b:

y = mx + b

-5 = -1(3) + b

-5 = -3 + b

-2 = b

Plug this and the slope into y = mx + b

y = mx + b

y = -x - 2

Put this into standard form by moving the x to the other side:

x + y = -2

So, x + y = -2 is the equation in standard form

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step-by-step explanation: