The graph of the linear equation y = 3x - 7 contains the point (k, 5). What is the value o… — SAT

The graph of the linear equation $y = 3x - 7$ contains the point $(k, 5)$ . What is the value of $k$ ?

The value of

k

4

Substituting the coordinates of the point

(k, 5)

into the linear equation

y = 3x - 7

gives

5 = 3k - 7

. Solving for

k

involves adding

7

to both sides of the equation to get

12 = 3k

, and then dividing both sides by

3

to find

k = 4

Substitute the point

(k, 5)

into the equation of the line

y = 3x - 7

by setting

x = k

and

y = 5

5 = 3k - 7

Since the point lies on the graph of the equation, its coordinates must satisfy the equation.

Isolate the term with

k

by adding

7

to both sides of the equation.

12 = 3k

Adding

7

to both sides cancels the

-7

on the right side.

Solve for

k

by dividing both sides of the equation by

3

k = 4

Dividing by

3

isolates

k

Determining an unknown coordinate of a point on a line by substituting the point's coordinates into the linear equation in two variables.

Question