At what exact point on the curve y = 2 +2e* -5x is the tangent line parallel to the line 5x - y = 5? › = ([ Illustrate by graphing the curve and both lines. (x, y) = O -3 -2 -1 6 ZX y X 2 2 X 2 3 -3 -2 -1 1 -3 -2 -1 2 3 4 -4 -3 -2 1 2 -2- -4 1 2 3 X

The given data is:

The given curve is 

$\mathrm{y}=2+2{\mathrm{e}}^{\mathrm{x}}-5\mathrm{x}$

The tangent line is parallel to the line $5\mathrm{x}-\mathrm{y}=5$

Let the exaxt point on the curve be $\left(\mathrm{a},\mathrm{b}\right)$ where the tangent line is parallel to the given line.