What is the equation of the line in standard form that passes through the point (3, 4) and is parallel to the line y = –x + 6?

Question

eyust707 · Answer

Well if two lines are parallel they both have the same slope. 

What is the slope of y=-x+6 ?

anonymous · Answer

1?

anonymous · Answer

*-1

eyust707 · Answer

yes!

eyust707 · Answer

So we know the slope of the line we are about to create is -1

eyust707 · Answer

The standard form of a line looks like this:
$$Ax+ By = C$$

anonymous · Answer

ax+by=-1?

eyust707 · Answer

but that doesnt really help us cause I don't see slope anywhere.... We have slope and we have a point, so lets use point slope form, then switch back to the form they want.

Point slope form is 

$$(y - y_1) = m (x - x_1)$$

eyust707 · Answer

y1 is given
x1 is given
and now we know m

eyust707 · Answer

Thats all we need.. just plug those in and move stuff around until it is in standard form