Please help! I need it fast. And yes this is Connections Academy, Linear Functions Test
(1) What is the slope of the line that passes through the pair of points: (1,7) and (10,1)
(2) What is the slope of the line that passes through the pair of points: (-5/3,-1) and (-2,9/2)
I am sorry i dont know the answers (1) (2) you've probably already taken the test (sorry) (3) You are already on this test? I am in connections academy and I just got to the test
Sorry, I forgot to put answer choices.
1: A, 3/2 B,-2/3 C, -3/2 D, 2/3
2: A, 2/33 B, -2/33 C,-33/2 D,33/2
m = ( y2 - y1 ) / ( x2 - x1 )
(1)
x1 = 1 , x2 = 10
y1 = 7 , y2 = 1
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 1 - 7 ) / ( 10 - 1 )
m = - 6 / 9 = - 2 ∙ 3 / 3 ∙ 3 = - 2 / 3
Answer B
(2)
x1 = - 5 / 3 , x2 = - 2
y1 = - 1 , y2 = 9 / 2
m = ( y2 - y1 ) / ( x2 - x1 )
m = [ 9 / 2 - ( - 1 ) ] / [ - 2 - ( - 5 / 3 ]
m = ( 9 / 2 + 1 ) / ( - 2 + 5 / 3 )
m = ( 9 / 2 + 2 / 2 ) / ( - 6 / 3 + 5 / 3 )
m = ( 11 / 2 ) / ( - 1 / 3 )
m = 11 ∙ 3 / 2 ∙ ( - 1 )
m = 33 / - 2
m = - 33 / 2
Answer C
Does anyone have the answers up to question 24 on the 6.10.1 - Test: Linear Functions Unit Test? I need them, fast! Please and thanks!! :D
To find the slope of a line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's use this formula to solve the given questions:
(1) The first pair of points are (1, 7) and (10, 1).
Using the formula:
slope = (y2 - y1) / (x2 - x1)
slope = (1 - 7) / (10 - 1)
slope = -6 / 9
slope = -2/3
(2) The second pair of points are (-5/3, -1) and (-2, 9/2).
Using the formula again:
slope = (y2 - y1) / (x2 - x1)
slope = (9/2 - (-1)) / (-2 - (-5/3))
slope = (9/2 + 1) / (-2 + 5/3)
slope = (9/2 + 1) / (-6/3 + 5/3)
slope = (9/2 + 1) / (-1/3)
slope = (18/2 + 2/2) / (-1/3)
slope = (20/2) / (-1/3)
slope = 20/2 * -3/1
slope = -30/2
slope = -15
So, the answers are:
(1) The slope of the line passing through the points (1,7) and (10,1) is -2/3.
(2) The slope of the line passing through the points (-5/3,-1) and (-2,9/2) is -15.