SOLUTION: For the line �2x+9y=6, find (a) the slope (b) the y-intercept (c) the x-intercept If f(x)=8x-4, find f(c) Find an equation of the line with the given slope and passing t

Question 973212: For the line �2x+9y=6, find
(a) the slope (b) the y-intercept
(c) the x-intercept
If f(x)=8x-4, find f(c)

Find an equation of the line with the given slope
and passing through the given point: With slope 1 and point (�2, �2)
Determine whether the following pairs of lines are
parallel:(b) 3x+2y=13 and 2x-3y=28
Find the x- and y-intercepts of the line8x+
8x+6y=24 and sketch its graph.
Set x=0
The Medicare Hospital Insurance Fund pays for
some hospital services for those in the Medicare
program. Based on income and disbursements during
1990 �2003, the linear trends for the fund�s income
and disbursements are:
where x=number of years since 1990 and
y=billions of dollars.
(a) Find the intersection of these trends.
(b) Based on the linear trends, when will the
fund�s disbursements exceed income?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
-2x+9y=6
9y=2x+6
y=(2/9)x + (2/3)
slope is (2/9); intercept is (6/9) or (2/3)
x-intercept is -3 . When y=0 -2x=6; x= -3
Not clear about if f(x)=8x-4, find f(c), without knowing what c is.
Slope 1 going through (-2, -2)
point slope formula
y- (-2)=1(x- (-2))
y+2=x +2
y=x
Check slopes in slope intercept form
2y=-3x +13; y =-(3/2)x + (13/2) ;;;; -3y=-2x+28;; y=(2/3)x -(28/3)
They are not parallel, for the slopes are different.
They are perpendicular.
Set x=0 and get y-intercept. Set y=0 and get-intercept. They are (0,4) and (3.0)
I don't have the equation for the last part, so I can't plot the points.
Graph of the last part.

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