Question

Help me pleaseeeeeeee

Answer 1

parallel means that the line has the same slope as

`y = (1)/(2) x + 9`

Slope point formula :

y - y1 = m (x - x1)

m represents the slope.

x and y represents the point in the form (x, y).

Since the slopes are the same we can substitute the slope into the formula:

`y - y1 = (1)/(2) (x - x1)`

then we can substitute our point (2, - 5)

`y - ( - 5) = (1)/(2) (x - 2)`

Final answer:

Change the - 5 to positive.

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

Leave y by it's own and subtract 5 to get rid of it. Do this both sides to make it equal.

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

Get rid of the brackets by multiplying:

`y =( (1)/(2) * x) - ( (1)/(2) * 2) - 5`

simplify:

`y = (1)/(2) x - 1 - 5`

Answer:

`y = (1)/(2) x - 6`