Question

The diagram shows the graph of y = 2x + c, where c is a constant find the value of K.​

Answer 1

Answer:

K=6.5x+c

Step-by-step explanation:

This is the answer for all the marks

Answer 2

Answer:

$k=\frac{13}{2}$

Step-by-step explanation:

The equation $y=2x+c$ is a linear equation. By definition, the independent term on this equation (that is, the number that is not being multiplied by $x$) is the y-intercept, which is a fancy way of saying "the point where the line crosses the y-axis".

By looking at the equation, we know that our y-intercept is c. By looking at the graph, we can see that the y-intercept is -3. Therefore, $c=-3$ and we get the complete version of our linear equation:

$y=2x-3$

Now, looking at the graph we can see that the point $(k,10)$ lies on the line of the equation, which means that the point is a solution to our equation. All we have to do is replace $x$ and $y$ by the values of the given point (which are $k$ and $10$, respectively), and then solve for $k$:

$10=2k-3\\10+3=2k\\13=2k\\2k=13\\k=\frac{13}{2}$

And we are done!