# The straight line y = -5x is tangent to the graph of the function y = 18x ^ 2-29x + c. Find c.

July 28, 2021 | education

| The straight line y = -5 * x is tangent to the graph of the function y = 18 * x ^ 2 – 29 * x + C; Find C.

The tangent equation is:

y = y ‘(x0) * (x – x0) + y (x0);

The only coefficient at x – y ‘(x0) means:

y ‘(x0) = -5;

y ‘(x) = 36 * x – 29;

Let’s solve the equation:

36 * x0 – 29 = -5;

36 * x0 = 24;

x0 = 2/3;

Now let’s find the ordinate of the intersection point:

y0 = -5 * x0 = -10/3;

Substitute the values of the coordinates of the intersection point in the function formula:

-10/3 = 18 * 4/9 – 29 * 2/3 + C;

-10/3 = 8 – 58/3 + C;

48/3 = 8 + C;

16 = 8 + C;

C = 8.

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