You are being asked to read the coordinates of several points from the graph. Each set of coordinates is an (x, y) pair, where the first coordinate is the horizontal distance to the right of the y-axis, and the second coordinate is the vertical distance above the x-axis. The distances are measured according to the scales marked on the x- and y-axes.

<h3>Vertex</h3>

The vertex is the low point of the graph. The graph is horizontally symmetrical about this point. On this graph, the vertex is (3, -1).

<h3>Y-intercept</h3>

The y-intercept is the point where the graph crosses the y-axis. On this graph, the y-intercept is (0, 8).

<h3>X-intercepts</h3>

The x-intercepts are the points where the graph crosses the x-axis. You will notice they are symmetrically located about the vertex. On this graph, the x-intercepts are (2, 0) and (4, 0).

<em>Additional comment</em>

The reminder that these are "points" is to ensure that you write both coordinates as an ordered pair. We know the x-intercepts have a y-value of zero, for example, so there is a tendency to identify them simply as x=2 and x=4. This problem statement is telling you to write them as ordered pairs.

5 0

2 years ago

Which of the following equations describes the line shown below? Check all<br> that apply.

scoundrel [369]

Answer:

B. y = 2x - 2

E. $y + 4 = 2(x + 1)$

F. $y - 6 = 2(x - 4)$

Step-by-step explanation:

The equation of the line can be found using either the point-slope equation or the slope-intercept equation.

✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):

Slope = m = change in y/change in x

Using (4, 6) and (-1, -4),

m = (-4 - 6)/(-1 - 4)

m = -10/-5

m = 2

Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form $y - b = m(x - a)$

Thus:

$y - 6 = 2(x - 4)$

✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):

Slope = m = 2

Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form $y - b = m(x - a)$

Thus:

$y - (-4) = 2(x - (-1))$

$y + 4 = 2(x + 1)$

✔️Equation of the line in slope-intercept form, y = mx + b

Where,

m = slope = 2

b = y-intercept = -2 (the point where the line intercepts the y-axis)

Thus, substitute m = 2 and b = -2 into y = mx + b

y = 2x + (-2)

y = 2x - 2

6 0

3 years ago

Describe how to decide if 94 is a prime or composite number

Tema [17]

If 94 has any other factors other than 1 and itself it is a composite number if it has only 1 and itself then it is prime

3 0

2 years ago

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