<u>Answer:</u>
<u>Step-by-step explanation:</u>
- <em>When we listen to the word "quotient", it means the solution to a division problem. </em>
- <em>An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement. </em>
- <em>The number "7" is in the denominator because it came after the 2x in the statement. </em>
- <em>The word "is" represents an equal sign.</em>
- <em>The solution to the division problem (quotient) is 20. </em>
<u><em>If we put these clues together, we get 2x/7 = 20 as our translated equation.</em></u>
<u>Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. </u>

Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):

Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2
You cut out the question-
Answer:
48.5
Step-by-step explanation: