Find the x - and y -intercepts of the graph of the linear equation 3x+6y=24 . The x -intercept is
.

The y -intercept is
.

x-intercept(s):

(8,0)

y-intercept(s):

(0,4)

x -intercept is 8

y -intercept is 4

Step-by-step explanation:

SOLUTION:

(x -intercept)

3x+6y=24

3x+6×0=24

3x+0= 24

(3x/3= 24/3) divide both sides by 3

x=8

(y -intercept)

3x+6y=24

3×0+6y=24

(6y/6=24/6) divide both sides by 6

y=4

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The answer to your question is the second choice    tan Ф = -3/4

Step-by-step explanation:

Data

sin Ф = -3/5

cos Ф > 0

Process

1.- The sin Ф is negative, which means that is in the third or fourth quadrant.

2.- sin Ф = -3/5   and sin Ф = Opposite side/hypotenuse

then, Opposite side = 3   hypotenuse = 5

3.- Calculate the adjacent side using the Pythagorean theorem

         c² = a² + b²

         b² = c² - a²

         b² = 25 - 9

         b² = 16

         b = 4

4.- If cos Ф is in the third quadrant

       cos Ф = -4/5    and cos Ф < 0    This is incorrect

5.- If cos Ф is in the fourth quadrant

       cos Ф = 4/5     and cos Ф > 0    This is correct

Then, this angle is in the fourth quadrant

6.- Calculate tan Ф

       tan Ф = -3/4