# Question #6e907

##### 1 Answer

Answer is

y=2x+4

#### Explanation:

Slope intercept form is y=mx+c

where m is slope and c is y-intercept.

Given equation is x+2y=9. This equation can be written as

y= -x/2 + 9/2

and by comparing it with y=m1x+c

we can find m1=-1/2

Now we have to find slope-intercept form of equation passing through (2,8).

slope of the line passing through (2,8) and perpendicular to the given line can be calculated as

m1*m2=-1 where as m1 is the slope of given line and m2 is the slope of line passing through (2,8) and perpendicular to the given line.

-1/2 x m2=-1

therefore m2=2

using general equation

y=mx+c which can be written as y=m2x+c

we have now m2=2 and one pair (x,y)= (2,8). We can calcuate c.

8=2x2+c

and c=8-4=4

Therefore required equation is

y=m2x+c

y=2x+4 (m2=2 and c=4 for required line).