Question

The function y = 2x + 2 and y = 5/2x + k intersect at the point (2,6). Find the value of k.

Answer 1

Answer:

• k = 1

Step-by-step explanation:

We know that:

• Given equations: y = 2x + 2 and y = 5x/2 + k
• Given intersection point: (2,6)

P.S, I solved this problem graphically. If you have any problems, please write them in the comments.

Explanation:

To find the value of k (y-intercept of 2nd line), we will need to draw a graph. Please check out the uploaded graph. In the graph, it tells us that the y-intercept of 2nd line is 1.

Hence, the value of k is 1.

Answer 2

So these are system of two functions. The value of x and y is given. With the help of given x and y values we need to find the values of k.. Let's solve it!~

• x = 2
• y = 6

Plug in the values and solve for k

$y = 2x + 2 \\ y = \frac{5}{2} x + k$

$6 = 2 \times 2 + 2 \\ 6 = \frac{5}{2} \times 2 + k$

Solve the second system. Since, We have all the values

$6 = \frac{5}{ \cancel2} \times \cancel2 + k$

$6 = 5 + k$

$5 + k = 6$

$k = 6 - 5$

$k = 1$

Hence, The value of k is 1 ...