Write the equation of the line parallel to 8x + y = -5 that passes through the point (1,5).

Answer 1

When two lines are parallel, they will have the same slope. So our first step must be to identify the slope of the given line.

8x + y = -5 to identify the slope write this line in slope intercept form. To do this subtract 8x from. Each side.

8x +y = -5

-8x -8x

y = -8x -5. The slope of this line is -8. Since the parallel line must have the same slope, it's slope is also -8.

For our parallel line: m=-8 and the point on the line is ( 1,5)

Now we need to find the intercept

y = mx +b Plug in m=-8, x =1 and y =5

5 = -8(1) + b

5 = -8 + b

13 = b

Now write the y = mx + b Equation for the parallel line with m = -8 and b =13

y= -8x +13