math question math

Question

What is an equation of the line that passes through the point (−7,−6) and is parallel to the line x−y=5?

Answer 1

x-y=5

y =x-5 the slope = 1, the implicit coefficient of the x term, when the equation is solved for y

a parallel line will have the same slope

y= (1)x + b in slope intercept form

-6 = 1(-7) + b where b = the y intercept

b = -6 +7 = 1

y =x +1 is the parallel line through the point (-7,-6)