Determine the intercepts of the line that correspond to the following table of values. x 2,6,10. y -18,-27,-36

x-int.:  (-6, 0); y-int.:  (0, -27/2).

Step-by-step explanation:

From this table of values we take two points:  (2, -18) and ( 6, -27).  Going from (2, -18) to (6, -27), we see that x increases by 4 and y decreases by 9.  Thus, the slope is m = rise / run = -9/4.

The equation of the line, in point-slope form, is then   y - (-18) = (-9/4)(x - 2).  Note that we don't ned (6, -27) again.  

This equation simplifies to y + 18 = (-9/4)(x - 2).

x-intercept:  Set y = 0 and find x:  0 + 18 = (-9/4)(x - 2).  To isolate (x - 2), mult. both sides of this equation by (-4/9):

(-4/9)(18) = (-4/9)(-9/4)(x - 2).  Then -8 = x - 2, or x = -6.  The x-intercept is then (-6, 0).

y-intercept:  Set x = 0 and find y:  y + 18 = (-9/4)(0 - 2).  This becomes

                                                        y = -18 + 9/2, or y = -27/2.  The y-intercept is thus (0, -27/2).

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9