Graph the equation 3x+3y=−15 using the intercepts.

To find the intercepts, equate one variable to

0

and solve for the other variable:

y-intercept

Set

x

to

0

and solve for

y

giving:

3

x

−

5

y

=

15

becomes:

(

3

⋅

0

)

−

5

y

=

15

0

−

5

y

=

15

−

5

y

=

15

−

5

y

−

5

=

15

−

5

−

5

y

−

5

=

−

3

y

=

−

3

or

(

0

,

−

3

)

x-intercept

Set

y

to

0

and solve for

x

giving:

3

x

−

5

y

=

15

becomes:

3

x

−

(

5

⋅

0

)

=

15

3

x

−

0

=

15

3

x

=

15

3

x

3

=

15

3

3

x

3

=

5

x

=

5

or

(

5

,

0

)

Next. we can plot the two points on the grid:

graph{((x-5)^2+(y)^2-0.125)((x)^2+(y+3)^2-0.125)=0 [-20, 20, -10, 10]}

Then, draw a line through the two points:

graph{(3x - 5y -15)((x-5)^2+(y)^2-0.125)((x)^2+(y+3)^2-0.125)=0 [-20, 20, -10, 10]}

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.