The y-intercept is (0,7) and the x-intercept is (-2,0).
Step-by-step explanation:
Recall the Ratio for tan
Tan(theta) = opposite / adjacent
Tan (x) = 9 / 5
solve for x (use Tan^-1(...) )
Answer:
slope (m) = -50 or -50x
Step-by-step Explanation
I'm assuming that the x-axis is divided by 1 minute segments.
The slope is defined as "the change in y-coordinate" divided by "the change in x-coordinate"
Since the y value is decreasing (negative) 50 feet per minute, then it is safe to say that the slope is -50 (feet)/ 1 minute
Therefore... the slope is -50 or -50x depending on the answer the assignment is looking for
The solution to your problem is as follows:
The tangent line passes through (4,-6), so x = 4 when y = -6
=> f(4) = -6
The tangent line will have a constant gradient.
gradient is m = (-6 - 9)/(4 - 10) => 5/2
Equation is y - 9 = (5/2)(x - 10)
=> y - 9 = (5/2)(x-10)
<span>i.e. y = (5/2)(x-10) + 9
</span> y = (5/2)x - 25 + 9 = y = (5/2)x - 16
Now, f '(x) = dy/dx = 5/2
so, f '(4) = 5/2....i.e. gradient is 5/2 whatever the value of x.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
One coordinate is (0,3) and another is (2,6)
