7. Find the slope of a line that is parallel to the line containing the points (3, 4) and (2, 6). (1 point)
m = 1
m = 2
m = –2
m = 1/2
8. Find the slope of a line that is perpendicular to the line containing the points (–2, –1) and (2, –3). (1 point)
m = –2
m = 2
m = -1/2
m = –1
NO CLUE!:(
4. The data in the table are linear. Use the table to find the slope. (1 point)
x: 2|4|6|8 |
y: 1|-2|-5|-8|
3/2
-3/2
-2/3
2/3
NO CLUE:(
sorry!
How can you have NO CLUE about finding the slope of a line between two points?
The slops is the change in y divided by the change in x. SO, between the two points (3, 4) and (2, 6),
y changes from 4 to 6, or +2
x changes from 3 to 2, or -1
m = 2/-1 = -2
Similarly for #8
Similarly for the #4 table. Watch the changes in x and y. They must all be the same from point to point for a straight line.
ok, i overthought that! oops!
thanx Steve!:)
so #8 is -1/2 right?
ill post what i think on #4 in a sec
and #4 is 2/3.....
To find the slope of a line parallel or perpendicular to another line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the given line.
For question 7:
The line containing the points (3, 4) and (2, 6) can be represented by the equation y = mx + b, where m is the slope. Using the formula, we can find the slope:
m = (6 - 4) / (2 - 3) = 2 / -1 = -2
Therefore, the slope of the line containing the points (3, 4) and (2, 6) is -2. Since a line parallel to this line will have the same slope, the answer is m = -2.
For question 8:
The line containing the points (-2, -1) and (2, -3) can also be represented by the equation y = mx + b. Using the formula, we can find the slope:
m = (-3 - (-1)) / (2 - (-2)) = (-3 + 1) / (2 + 2) = (-2) / 4 = -1/2
Therefore, the slope of the line containing the points (-2, -1) and (2, -3) is -1/2. Since a line perpendicular to this line will have a negative reciprocal slope, the answer is m = 2.
So, the solution to question 7 is m = -2, and the solution to question 8 is m = 2.