Question

Additionally, the line y=6x+4 is tangent to the curve at a certain point. What is the slope of the curve at this point?

a) 6
b) 4
c) 10
d) 2

Answer 1

The slope of the curve at the point where the line y=6x+4 is tangent is 6.

Step-by-step explanation:

The slope of a line represents how steep or slanted the line is.

For a straight line equation in the form y = mx + b, where m is the slope, the slope is constant throughout the entire line.

In this case, the equation of the line is y = 6x + 4, which means the slope is 6.

Since the line is tangent to the curve at a certain point, the slope of the curve at that point will also be 6.