MAT-160 Lecture 8: 2.2 Lines Notes

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plummoose320

29 Nov 2017

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Provide a generalization to the terms listed in this section. X rise run y2 y1 x2 x1: a vertical line"s slope isn"t de ned. What is the slope of the line that passes through the points a(2, 2) and b(8, 4)? m = What is the slope of the line that passes through the points a(2, 2) and b(4, 6)? m = What is the slope of the line that passes through the points a(2, 2) a d b(4, 2)? m = What is the slope of the line that passes through the points a(2, 4) and b(2, 2)? m = Point-slope form of the equation of a line. = m y y1 x x1 (x x1) = m (x x1) y y1 = m (x x1) Find the equation of the link that goes through (1, 2) with a slope of 1.

Related Questions

Use the point-slope form linear equation given to complete problems 5-18

y-3=3(x+1)

5. What is the slope of the given line?

6. What point does this line pass through, which is the basis of this equation?

7. Rewrite this equation in the slope-intercept form.

8. What is the y-intercept of this line?

9. Rewrite this equation in standard form.

10. What is the x-intercept of this line?

11. What is the equation in the standard form of a perpendicular line that passes through (5,-1)?

12. What is the x-intercept of the perpendicular line?

13. What is the equation in the standard form of a parallel line that passes through (0,-3)

14. On the parallel line, find the ordered pair where x=2

15. Graph the original equation given include your 3 points from problems 6,8, and 10, labeled A, B, and C respectively

16. Add the perpendicular line to your graph. Include the point given in problem 11 and your point from problem 12, labeled L and M, respectively.

17. Add the parallel line to your graph. Include the point given in problem 13 and your point from problem 14, labeled L and M, respectively.

18. Describe the relationship (if any) between the line drawn in problems 16 and 17.

cerisebeaver906

i missed class and am lost. Please show all work and ill giveyou the best answer

1) a- find the slope of the tangent to the curve y= 3 + 4x^2- 2x^3at the point where x=a
b- find the equations of the tangent lines at the points (1,5) and(2,3)
c- Graph the curve and both the tangent on a common screen

2) if a rock is thrown upward on the planet mars with a velocity of10 m/s, its height( in feet) after t seconds is given by h= 10t-1.8t^2
a-find the velocity of the rock after one second
b- find the velocity of the rock when t = a
c-when will the rock hit the surface
d- with what velocity will the rock hit the surface

3) a-find an equation of the tangent line to the graph of y= g(x)at x =5 if g(5)=-3 and g'(5)=-4
b-if the tangent like to y = f(x) at (4,3) passes through the point(0,2) find f(4) and f'(4)

greencricket685

MAT-160 Lecture 8: 2.2 Lines Notes

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