Write a linear equation in slope-intercept form. m=-3 and contains (0,2)
2 answers:
Answer:
Step-by-step explanation:
The slope-intercept form is used to write linear equations.
<u>Slope-intercept form:</u>
The m represents the slope.
The b represents the y-intercept.
The slope is -3.
The y-intercept is 2.
- (0,2)
- x1=0
- y1=2
<u></u>
<u>y=-3x+2</u>
- <u>Therefore, the slope-intercept form is y=-3x+2, which is our answer.</u>
I hope this helps! Let me know if you have any questions.
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Answer:
y - 7 = 4(x - 35)
Step-by-step explanation:
The fundamental theorem of calculus states that:
= f(x).
So using the fundamental theorem of calculus, you can find that h'(x) = f(x).
The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.
Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.
The slope of h(x) at x = 35 is 4.
Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.
The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.
Now use the point-slope formula to write the equation of the tangent line.
The answer is <u>y - 7 = 4(x - 35)</u>