Question

Find the equation of a line parallel to y = 2x + 7 and that goes through the point 4,12

This one to if you can help plz

Answer 1

Line which will be parallel to y=2x+7 has the same slope

y=mx+b
where m is slope here m=2 so other line which is parallel to this line also have the m=2

now slope point form of a line is
y-y1=m(x-x1)

where x1,y1 are coordinate points given (4,12)

y- 12=2(x-4)

y-12=2x-8
y=2x+4

Answer 2

y = 2x + b

A(4, 12) ==>
12 = 2*4 + b
12 = 8 + b
b = 12 - 8
b = 4

Answer is
y = 2x + 4