Question

Write an equation of the line that is parallel to -x + y = 5 and passes through the point (2,-5).

Answer 1

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

so convert the equation -x + y = 5 into slope intercept form by adding x to both sides

(-x + x) + y = 5 + x

0 + y = 5 + x

y = 5 + x

To match the slope intercept formula switch the x and 5 around

y = x + 5

If lines are parallel then they have the same slope (m) but they have different b

This means that the slope of the line will be 1 (in front of the x is an invisible 1 which would be m)

This is what we have so far...

y =  x + b

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(2, -5)

-5 = 1(2) + b

-5 = 2 + b

-7 = b

y = x + (-7)

y = x - 7

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer 2

USE y=mx+b

m=Slope

b= Y-intercept

So y=x-7