Find the equation of the tangent to the curve y=x^2+5x+2 at the point where x=5

Step 1: Differentiate the equation of the curve (this gives a function for the gradient of the curve at a specific point)Step 2: Substitute x value into the differential of the curve to obtain gradient (m)Step 3: Obtain y co-ordinate by substituting x into equation of the curveStep 4: Substitute y, x and gradient (m) values into general equation of a line (y=mx+c)Step 5: Work out the value of the y intercept (c)Step 6: Substitute values of gradient (m) and y intercept (c) into general equation of a line (y=mx+c) for the final answer