Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)?
Answers
Slope: of PQ = (2-4)/(-2-3) = 2/5
Line parallel to PQ: let it be
y = m x + c
y = 2x /5 + c
Ordered pair of points:
(x , 2x/5 +c)
Where c is a constant.
For example (x , 2x/5 + 1)
Given : a line parallel to the line that contains (3, 4) and (–2, 2)
options are (–2, –5) and (–7, –3) (–1, 1) and (–6, –1) (0, 0) and (2, 5) (1, 0) and (6, 2) (3, 0) and (8, 2)
To find : Which ordered pairs could be on line - select all applicable from options
Solution:
Slope of line having points (3, 4) and (–2, 2)
= ( 2 - 4)/(-2 - 3)
= (-2)/(-5)
= 2/5
Slope of line parallel to this line will also have slope of 2/5
Lets check each pair for slope
(–2, –5) and (–7, –3)
Slope = ( -3 -(-5))/(-7 - (-2)) = 2/(-5) = - 2/5 ≠ 2/5
Does not lie on parallel line
(–1, 1) and (–6, –1)
Slope = ( -1 - 1 )/(-6 - (-1)) = -2/(-5) = 2/5
lies on parallel line
(0, 0) and (2, 5)
Slope = 5/2 ≠ 2/5
Does not lie on parallel line
(1, 0) and (6, 2)
Slope = 2/5
lies on parallel line
(3, 0) and (8, 2)
Slop e= 2/5
lies on parallel line
(–1, 1) and (–6, –1) , (1, 0) and (6, 2) & (3, 0) and (8, 2)
lies on line parallel to line that contains (3, 4) and (–2, 2)
Learn more:
The lines graphed below are parallel the slope of the red line is 3 ...
https://brainly.in/question/14789221
Q. 3 Find the slope of the line passes through the points G (7, 1) and ...
https://brainly.in/question/14557428
https://brainly.in/question/16617636