The point P(4,4) lies on the curve y = √x + 2. If Q is the point (x, √x + 2), find the slope of the secant line PQ for the following values of x. If x= 4.1, the slope of PQ is: and if x 4.01, the slope of PQ is: and if x = 3.9, the slope of PQ is: and if x = 3.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(4,4).

Q: Find the slope of any line that is perpendicular to the line whose equation is x + 3y = 12.

A: x+3y=12 On simplification, we get 3y=-x+12⇒y=-13x+4 Now comparing with y=mx+c, we get m=-13,  c=4…

Q: Use the given condition to write an equation for the line in slope-intercept form. Passing through…

A: It is given that the line passes through (5,4) and is perpendicular to the line

Q: Consider the graph of  (10 − x)y2 = x3. Find the slope of the graph at the given point.

A:

Q: Given m=3, find the equation of the line in slope-intercept form passing through the point (5,5)

A:

Q: Find the intersection of the lines L1 and L2, where L1 is the line through the points (0, -13) and…

A: Given,            The lines L1 and L2, where L1 is the line through the points (0, -13) and (5, -3)…

Q: 1. A ball rolls down a ramp with a slope of -3/5. During its descent, the ball is at 15 feet at one…

A:

Q: Find a point on the

A: