Question

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answer 1

Explanation:

eq. of any line parallel to y=1/2 x-4 is

y=1/2 x+a,where a is constant.

∵ it passes through (4,5)

5=1/2(4)+a

5=2+a

a=5-2=3

so reqd. eq. is y=1/2 x+3

Answer 2

Equation of the line is

y = 1/2x + 3

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

`y = (1)/(2) x - 4`

comparing this equation with the above formula

Slope or m is 1/2

Since the lines are parallel their slope are also the same

That's

m = 1/2

Equation of the line using point (4,5) is

`y - 5 = (1)/(2) (x - 4) \\ y - 5 = (1)/(2) x - 2 \\ y = (1)/(2) x - 2 + 5 \\ y = (1)/(2) x + 3`

Hope this helps you.