Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?
Answer:
3.5 hours
Step-by-step explanation:
Distance = 21 miles
Speed * time
Speed * time = distance
Tom speed = 2 mph
Brian = 4 mph
Let time = t
Brian distance + Tom's distance = total distance
4t + 2t = 21
6t = 21
t = 21 / 6
t = 3.5 hours
Answer:

Step-by-step explanation:
Given


Required
Determine the line equation in slope intercept
The equation of a line in slope intercept is:

Where


So,
becomes
