Algebra 1 homework help?

Question

Find and show the slope of each line. Then determine whether the graphs of the lines are parallel, perpendicular, or neither.

21.) 4y=x+5; 8x=2y= -8

Could you just explain to me how to solve this one problem so I can do the rest of them too? Thanks.

Answer 1

Given two lines are 4y = x + 5 and 8x = -2y - 8

a) First line is 4y = x + 5

General form  of slope intercept form of line is y = mx + c

b) Second line is 8x = -2y - 8

8x = -2y - 8

-2y = 8x + 8

2y = -8x - 8

y = -4x - 4

General form  of slope intercept form of line is y = mx + c

If two lines are perpendicular then slopes

Therefore the given two lines are perpendicular.

Graph -:

1)Draw the graph for the given lines

2)From the graph also we can observe that the two lines are perpendicular.