Name the point with the given coordinates.
(–4, 2)
A coordinate grid with four labeled points is shown.
Both the x- and y-axes are between negative 5 and 5, and each interval mark on the grid represents one unit. Four points are plotted.
· Point G is two units to the right of the y-axis and four units above the x-axis.
· Point H is four units to the right of the y-axis and two units below the x-axis.
· Point J is two units to the left of the y-axis and four units below the x-axis.
· Point K is four units to the left of the y-axis and two units above the x-axis.
(1 point)
H
K
J
G
J
Choose the function table that matches the given rule.
Output = Input – 3 (1 point)
Input
Output
–2
–5
1
–2
6
3
Input
Output
2
–1
–2
3
0
–6
Input
Output
5
2
2
–5
0
9
Input
Output
6
3
–6
–3
5
0
Input | Output
------|-------
-2 | -5
1 | -2
6 | 3
The function table that matches the given rule is:
Input | Output
------|-------
-2 | -5
1 | -2
6 | 3
. Make a table and graph the function.
y = 3x + 2
(1 point)
graphThe graph shows x values of negative 2, negative 1, zero, 1, and 2. The y values are negative 4, negative 1, 2, 5, and 8. The line passes through the points left-parenthesis negative 2 comma negative 4 right-parenthesis left-parenthesis negative 1 comma negative 1 right-parenthesis left-parenthesis zero comma 2 right-parenthesis left-parenthesis 1 comma 5 right-parenthesis.
graphThe graph shows x values of negative 2, negative 1, zero, 1, and 2. The y values are 6, 1, 2, 3, and 8. The line passes through the points left-parenthesis negative 2 comma negative 2 right-parenthesis left-parenthesis negative 1 comma zero right-parenthesis left-parenthesis zero comma 2 right-parenthesis left-parenthesis 1 comma 4 right-parenthesis.
graphThe graph shows x values of zero, negative 1, 3, 1, and 2. The y values are 6, zero, 2, 3, and 8. The line passes through the points left-parenthesis negative 6 comma negative 1 right-parenthesis left-parenthesis negative 5 comma zero right-parenthesis left-parenthesis negative 4 comma 1 right-parenthesis left-parenthesis negative 3 comma 2 right-parenthesis.
graphThe graph shows x values of 2, negative 1, 3, 1, and 2. The y values are 3, zero, 2, 3, and 8. The line passes through the points left-parenthesis 6 comma negative 1 right-parenthesis left-parenthesis 5 comma zero right-parenthesis left-parenthesis 4 comma 1 right-parenthesis left-parenthesis 3 comma 2 right-parenthesis.
Input | Output
------|-------
-2 | -4
-1 | -1
0 | 2
1 | 5
2 | 8
The table for the function y = 3x + 2 is shown above.
The graph of the function is a straight line passing through the points (-2, -4), (-1, -1), (0, 2), (1, 5), and (2, 8). The line has a positive slope of 3, indicating that y increases by 3 for every 1 unit increase in x. The y-intercept is (0, 2), indicating that when x is 0, y is 2. The graph is as follows:
The point with the given coordinates (-4, 2) is Point H.
To find the name of the point with the given coordinates (-4, 2), we need to locate the point on the coordinate grid.
The x-coordinate is -4, which means we need to move 4 units to the left from the y-axis. The y-axis is the vertical line on the coordinate grid. Counting 4 units to the left brings us to the point that is two units above the x-axis.
The y-coordinate is 2, which means we need to move 2 units above the x-axis from the point we found previously.
Following these steps, we locate the point with the coordinates (-4, 2).
Comparing this point with the labeled points on the coordinate grid, we find that the name of the point with coordinates (-4, 2) is H.
Therefore, the answer is H.