# maths

the line passes through the points s(6,6) and T(0,-2) determine the gradient of the line
the equation of the line
the midpoint of the line segment,TS
the length of the line segment,TS

1. 👍
2. 👎
3. 👁
= slope
= (6-(-2))/(6-0)
= 8/6 = 4/3

since (0,-2) is the y-intercept or the b of the y = mx + b notation, we can simply write

y = (4/3) - 2

surely you have 2 little formulas in your text or your notebook to find the midpoint and the length.
Let me know what you get.

1. 👍
2. 👎
2. mid point
y2+y1/2
-2+6/2
4/2
=2

x2-x1/2
0-6/2
-6/2
=-3

1. 👍
2. 👎
3. Ohh dear!

midpoint is a "point" so it must look like ( ? , ? )
the x of the midpoint is (6+0)/2= 3
the y of the midpoint is (6-2)/2 = 2
so the midpoint is (3,2)
(notice that in effect we are taking the average of the x's and the average of the y's)

length
= √(6-0)^2 + (6-(-2))^2)
= √(36 +64)
= √100
= 10

1. 👍
2. 👎

## Similar Questions

1. ### math

1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)? a) -3 b) -2 c) -1/3 d) 1/3*** 2) a line has slope -5/3. Through which two points could this line pass? a) (12, 13),(17, 10) b) (16, 15), (13,

2. ### geometry

Decide which one of the following statements is false. a. any three points lie on a distinct line. b. three noncollinear points determine a plane. c. a line contains at least two points. d. through any two distinct points there

3. ### algebra

Consider the scatter plot shown. Which shows the line of best fit? Explain your reasoning. A scatter plot is shown in the xy-plane. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range

4. ### Math

*The straight line, L1, has an equation y= -2x+5 1.) Write down the gradient of L1 2.) Line 2, is perpendicular to L1, and passes through the point (4,5). a. Write down the gradient of L2 b. Find the equation of L2. 3.) Line 2, is

1. ### Algebra

Line n passes through points (7, 12) and (4, 15). What is the slope of a line that is perpendicular to line n?

2. ### math

A line L1 passes through point (1, 2) and has gradient of 5. Another line L2, is perpendicular to L2 and meets it at a point where x = 4. Find the equation for L2 in the form of y = mx + c

3. ### Math

The staright line L passes through the points A(-1,4) and B(5,8). a. Calculate the gradient of L b. Find the equation of L c. The Line L also passes through the point P(8,y). Find the value of y.

4. ### Math

A line passes through the points (1,2) and (5,3). Another line passes through the points (5,3) and (0,0). Will the two lines intersect? Explain your reasoning.

1. ### Math

1. Determine the equation of the right bisector of the line segment E(2, 6) and F(4, -2). Draw the diagram. 2. Given three points D(2, 5) E(-2, -3) and F(4, -6) determine whether or not the line through D and E is perpendicular to

2. ### math

For 1-10, determine whether the lines are parallel, perpendicular or neither. One line passes through the points (-1, 4) and (2, 6); another line passes through the points (2, -3) and (8, 1). One line passes through the points (4,

3. ### maths

two points A(-3;-8)AND B(2;7)LIE ON A STRAIGHT LINE CALCULATE THE GRADIENT OF LINE AB

4. ### Algebra

1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)? A. -3 B. -2 C. -1/3 D. 1/3 2. A line has a slope -5/3. Through which two points could this line pass? A. (12, 13) and (17, 10) B. (16, 15) and