Answer:
y = x + 14
Explanation:
given
5x−5y=−2, we'll rearrange this into slope - intercept form
5x + 2 = 5y
5y = 5x + 2 (divide both sides by 5)
y = x + (2/5)
recall that the general equation of the slope-intercept form of a linear equation:
y = mx + b, the value of m represents the slope of the line
in our case, comparing the above equations, it is clear that the slope m = 1.
We are given that our line is parallel to the above line, hence it will also have a slope of 1.
if we substitute m = 1 into the general equation, we will get
y = x + b
in order to find the value of b, we will substitute the given point (-10,4) into the equation:
4 = -10 + b (add 10 to both sides)
b = 4 + 10
b = 14
hence our equation is y = x + 14