Answer:
y = -3x -2 ( this is only for 5 )
Explanation:
Step 1:
First, we need to understand that lines that are perpendicular have slopes that are opposites and reciprocals of each other.
Step 2:
So our initial equation is 2x-6y= 10. We want to rearrange this so that it is in slope-intercept form: y= 1/3x -(10/6). In this form, we can derive the slope of our new line. Because the slope is 1/3, our new slope is -3 ( based on step 1 ).
Step 3:
Now that we have the slope of our new line, we can use the point-slope formula to get our specific line that passes through ( 2, -8 ).
y - y1 = m( x - x1 )
y- ( -8 ) = -3( x - 2 )jhvjjfjhjfhcgch
y + 8 = -3x + 6
y = -3x -2 !