Write the equation of a parallel line passing through the (-2,-9)

Question

Help I’ve been at this all night

Answer 1

parallel line through (-2, -9)

parallel lines have the same slope as whatever the given line has

call it m=slope = (y+9)/(x+2)= difference in y coordinates divided by the corresponding difference in x coordinates

y+ 9 = mx +2m

y = mx +2m-9 slope = m, y intercept = 2m-9

if the original line has zero slope such as y =10

then the parallel line through (-2,-9) is y = -9

if the original slope has undefined slope (it's a vertical line) such as x = 10, then the parallel line through (-2,-9) is x = -2

if the original slope = 1

then the parallel line through the given point is y =(1)x +(2)(1)- 9

or y=x -7