The graph of a direct variation equation passes through the point (4,6). Write the direct variation equation and find the value of y when x=24

y = 26

Step-by-step explanation:

Write the direct variation equation.

y = ax

Substitute y for 6 and x for 4.

The new equation is:

6 = a(4)

Simplify:

6 = 4a

Divide by 4 on both sides to get a = 6/4.

y = 6/4(24), 6/4 x 24 is 104/4. 104/4 is 26.

y = 26

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0