Question

1.Write the equation in slope-intercept form for the line that passes through the given pointand is parallel to the given equation. X– 3y = 9 and passes through (3, -1)

Answer 1

step 1

Find the slope of the given line

x-3y=9

isolate the variable y

3y=x-9

y=(1/3)x-3

the slope of the given line is m=1/3

Remember that, if two lines are parallel, then their slopes are the same

therefore

the slope of the parallel line is m=1/3

step 2

The equation of the line in slope intercept form is equal to

y=mx+b

we have

m=1/3

point(3,-1)

substitute

-1=(1/3)(3)+b

solve for b

-1=1+b

b=-1-1

b=-2

therefore

the equation of the line is

y=(1/3)x-2