What is the equation of a line that passes through (4,6) and is parallel to y=2x+2 ?

y = 2x - 2

Step-by-step explanation:

let equation of the line be y = mx + c

since it is parallel to y = 2x + 2, gradient/slope of the two lines would be the same

therefore, m = 2

since it passes through (4, 6),

sub (4, 6):

6 = 2(4) + c

c = -2

therefore equation of the line is y = 2x - 2

a negative exponent is translated as follows:

so, we have