For which values of A, B, and C will Ax + By = C be a vertical line through the point (7, 4)? A. A = 1, B = 0, C = 4

B. A = 0, B = 1, C = 4

C. A = 0, B = 1, C = 7

D. A = 1, B = 0, C = 7

B

Step-by-step explanation:

Let's take 7,4 as x and y respectively.

Substituting it into the formula,

We have

A(7)+B(4)=C

Checking the possible answers,

A. becomes like this

1(7)+0(4)=4

7+0=4 which is wrong.

Taking B

0(7)+1(4)=4

0+4=4 which is correct therefore we go for B.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

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

tap for more

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