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evablogger [386]
2 years ago
15

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

Mathematics
2 answers:
pishuonlain [190]2 years ago
7 0

Answer:

K=6.5x+c

Step-by-step explanation:

This is the answer for all the marks

mote1985 [20]2 years ago
4 0

Answer:

k=\frac{13}{2}

Step-by-step explanation:

The equation y=2x+c is a <em>linear equation</em>. By definition, the independent term on this equation (that is, the number that is not being multiplied by x) is the <em>y-intercept</em>, 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 <em>c. </em>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!

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