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Digital SAT Math
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COURSE: DIGITAL SAT MATH > UNIT 2 Quiz 1
Due Apr 30, 11:59 PM
Quiz 1: 
40%
Foundations: Algebra
Line 
ℓ passes through the points 
(2,2) and 
(4,10). What is the slope of line 
ℓ ?
Choose 1 answer:
(A) -4
(B) 
(1)/(4)
(C) 4
(D) 5

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Learning Resources\newlineCute Art - Google D...\newlinegoogle snake - Goo.\newlineDanica Shelly - Mod...\newlineStay in a castle in S..\newlineQueen Mary Castle -..\newlinequeen mary castle -...\newlineAll Bookm\newlinei) We've updated our Cookie Notice. Please review it now.\newlineCourses\newlineSearch\newlineQ. Khan Academy\newlineGet Al Tutoring NEW\newlinecπ c^{\pi} \newlineDonate ® { }^{\circledR} \newlineDanicas\newlineDigital SAT Math\newlineGoogle Classroom\newlineCOURSE: DIGITAL SAT MATH > UNIT 22 Quiz 11\newlineDue Apr 3030, 1111:5959 PM\newlineQuiz 11: 40% 40 \% \newlineFoundations: Algebra\newlineLine \ell passes through the points (2,2) (2,2) and (4,10) (4,10) . What is the slope of line \ell ?\newlineChoose 11 answer:\newline(A) 4-4\newline(B) 14 \frac{1}{4} \newline(C) 44\newline(D) 55\newlines s^{\prime} \newlineStart over 55 of 55\newlineCheck

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Q. Learning Resources\newlineCute Art - Google D...\newlinegoogle snake - Goo.\newlineDanica Shelly - Mod...\newlineStay in a castle in S..\newlineQueen Mary Castle -..\newlinequeen mary castle -...\newlineAll Bookm\newlinei) We've updated our Cookie Notice. Please review it now.\newlineCourses\newlineSearch\newlineQ. Khan Academy\newlineGet Al Tutoring NEW\newlinecπ c^{\pi} \newlineDonate ® { }^{\circledR} \newlineDanicas\newlineDigital SAT Math\newlineGoogle Classroom\newlineCOURSE: DIGITAL SAT MATH > UNIT 22 Quiz 11\newlineDue Apr 3030, 1111:5959 PM\newlineQuiz 11: 40% 40 \% \newlineFoundations: Algebra\newlineLine \ell passes through the points (2,2) (2,2) and (4,10) (4,10) . What is the slope of line \ell ?\newlineChoose 11 answer:\newline(A) 4-4\newline(B) 14 \frac{1}{4} \newline(C) 44\newline(D) 55\newlines s^{\prime} \newlineStart over 55 of 55\newlineCheck
  1. Identify Points: To find the slope of a line that passes through two points, we use the formula for slope mm, which is the change in yy divided by the change in xx, or m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}. We will apply this formula to the given points (2,2)(2,2) and (4,10)(4,10).
  2. Calculate Δy\Delta y: First, identify the coordinates of the two points. Point 11 is (x1,y1)=(2,2)(x_1, y_1) = (2, 2) and Point 22 is (x2,y2)=(4,10)(x_2, y_2) = (4, 10).
  3. Calculate Δx\Delta x: Now, calculate the change in y (Δy\Delta y) which is y2y1y_2 - y_1. That is 102=810 - 2 = 8.
  4. Find Slope Formula: Next, calculate the change in x (Δx\Delta x) which is x2x1x_2 - x_1. That is 42=24 - 2 = 2.
  5. Calculate Δy/Δx\Delta y / \Delta x: Now, divide the change in yy by the change in xx to find the slope: m=Δy/Δx=8/2m = \Delta y / \Delta x = 8 / 2.
  6. Perform Division: Perform the division to find the slope: m=82=4m = \frac{8}{2} = 4.

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