(1) Find an equation of the line having the given slope and containing the given point
m= , (6,-8)
(2) Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b
(7,8); x+7y=5
...
...
(6) The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001.
a) use the data points to find a linear function that's fits the data
b) use the function to predict the average salary in 2005 and 2010
(7) In 1920, the record for a certain race was45.6 sec. In 1970, it was 45.1 sec. let R(t)= the record in the race and t= the number of years since 1920.

"How can you determine if two lines are perpendicular?"
This is what I understand out of it By definition, perpendicular lines intersect each other at 90 degree angle.
In co-ordinate geometry, product of their slopes is -1.

The curve C has equation: y = x^3 - 2x^2 - x + 9, x>0
The point P has coordinates (2,7).
(a) Show that P lies on C.
(b) Find the equation of the tangent to C at P, giving your answer in the form of y = mx+c, where m and c are constants.
The point Q also lies on C.
Given that the tangent to C at Q is perpendicular to

Task:
A. Complete the following graphs:
1. Graph the following values on a number line.
• 1
• 0
• -6
• 3/4
• -1.7
2. Graph the following points on a coordinate plane. Make sure to include labels for each quadrant.
• (3, -2)
• (0, 0)
• (-1, 7)
• (3, 5)
• (-4, -5)
3. Graph t

For geometry I am having trouble to come up with an example for the question below that illustrate numbers.
I need an example with numbers and some geometry calculations so that we can clearly see how geometry is used in our everyday life?

(1) Show that the points A(4, 1), B(2, -3), C(0, 3) cannot form an equilateral triangle.
(2) Draw the graph of the straight line 3x ?4y = 12
(3) Find the equation of a line parallel to the x- axis and passing through the point (5, 7).

An observer at r = r1 in Schwarzchild geometry sends a light signal in the radial direction toward r = r2 where r2 > r1.
(a) Determine the instantaneous coordinate velocity dr/dt of the signal.
(b) Suppose the signal is reflected at r = r2 and returns to r1. Determine how long, as measured in coordinate time t, it takes the

After taking off, a helicopter climbs in a straight line at a constant angle B. Its flight is tracked by radar from point A. Determine the speed of the helicopter in terms of d, B, p and p dot.
I know that in polar coordinates: v=r(p dot)
I know I need to get r in terms of d, B, p and p dot. I have been trying different

Please see the attached file for the fully formatted problems.
Write the equation of the line with given slope and y-intercept. Then graph each line using
the slope and y-intercept
1. Slope: -2; y-intercept: (0, 4)
2. Slope: 5; y-intercept: (0, -2)
3. Slope: ; y-intercept: (0, 8)
4. Find the slope of any line pe

The importance of geometry's role in the math curriculum is debated in many high schools and colleges. Some schools offer the course while others have done away with it. Based on what you have learned within this unit, do you think geometry is a valuable tool for students to learn? Choose one side of this debate, state your view