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?
<u>SOLUTION:</u>
General Equation: y = mx + b
.
Substitute slope = -2 into the equation:
y = -2x + b
.
Find the y-intercept:
4 = -2(-3) + b
4 = 6 + b
b = -2
.
Substitute b = -2 into the equation:
y = -2x - 2
.
Answer: y = -2x - 2
Answer:
Imma answer this because I don’t want this to get deleted for not bein answered and there free point who wouldn’t want them, lol :)
Step-by-step explanation:
Answer:
3.370459909
Step-by-step explanation:
Figure out the arithmetic mean of the numbers (22.8)
Subtract the mean from each number and square the difference
Add up the squared differences and divide the number by 5
Square root answer