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gregori [183]
1 year ago
7

A line has the equation y = 3x + 16 what are the coordinates of the y intercept of the line?

Mathematics
2 answers:
Tanya [424]1 year ago
8 0

Answer:

(0, 16)

Step-by-step explanation:

The intercepts of a graph are points at which the graph crosses the axis. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph cross the y-axis.

In a slope-intercept equation, the format goes like this:

y = mx + b / c

M = slope

B/c = y-intercept

So in the equation y = 3x + 16, 3 is the slope and 16 is the y-intercept.

Hence, the coordinates of the the y-intercept of the line are (0, 16).

bearhunter [10]1 year ago
3 0

Answer:

(0, 16)

Step-by-step explanation:

  • y = 3x + 16

  • Plug x = 0

  • -> y = 3*0 + 16

  • -> y = 0 + 16

  • -> y = 16

  • -> y- intercept = (0, 16)
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(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left and 2 units down?
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Answer:

The answer is (h).

Step-by-step explanation:

When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.

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3 years ago
Find the distance between (4,6) and (-2, -2)
Nataly [62]

Answer:

\displaystyle d = 10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, 6)

Point (-2, -2)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute [DF]:                     \displaystyle d = \sqrt{(-2-4)^2+(-2-6)^2}
  2. Subtract:                                \displaystyle d = \sqrt{(-6)^2+(-8)^2}
  3. Exponents:                            \displaystyle d = \sqrt{36+64}
  4. Add:                                       \displaystyle d = \sqrt{100}
  5. Evaluate:                               \displaystyle d = 10
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Length of AB=Length of A'B' because they are corresponding sides.
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