To create two tables that represent a linear function with the same slope as y = 2 - 3x, we can select any x-values we desire and plug them into the equation to determine the corresponding y-values.
Table 1:
Let's choose three different x-values for our first table: -2, 0, and 2.
For x = -2:
y = 2 - 3(-2) = 2 + 6 = 8
For x = 0:
y = 2 - 3(0) = 2
For x = 2:
y = 2 - 3(2) = 2 - 6 = -4
The table representing the linear function is:
| x | y |
|-------|-------|
| -2 | 8 |
| 0 | 2 |
| 2 | -4 |
Table 2:
Now, let's choose three different x-values for our second table: -3, 1, and 4.
For x = -3:
y = 2 - 3(-3) = 2 + 9 = 11
For x = 1:
y = 2 - 3(1) = 2 - 3 = -1
For x = 4:
y = 2 - 3(4) = 2 - 12 = -10
The table representing the linear function is:
| x | y |
|-------|-------|
| -3 | 11 |
| 1 | -1 |
| 4 | -10 |
tables represent a linear function with the same slope as y = 2 - 3x make two
7 answers
The equation of Line 1: 4x - 2y = 16 The equation of Line 2: y = -4/5x + 2 The equation of Line 3: y - 4 = 3 (x + 5) Which statement is true? (1 point) Responses Line 2 has an increasing graph Line 2 has an increasing graph Line 1 has the biggest y-intercept Line 1 has the biggest y-intercept Line 3 has the greatest slope Line 3 has the greatest slope Line 1 has the greatest slope. Line 1 has the greatest slope. Line 2 has the biggest y-intercept Line 2 has the biggest y-intercept Line 3 has a decreasing graph
The correct statement is: Line 2 has an increasing graph.
x -2, -1, 2, 5
y 80, 70, 40, 10
Answer the questions using the table. (3 points) the rate of change = the y−intercept = the equation of the line is
y 80, 70, 40, 10
Answer the questions using the table. (3 points) the rate of change = the y−intercept = the equation of the line is
To determine the rate of change, we can find the difference in y-values for any two points, divided by the difference in corresponding x-values.
Rate of change = (change in y) / (change in x)
For the given table:
Change in y from x = -2 to x = -1: 70 - 80 = -10
Change in x from x = -2 to x = -1: -1 - (-2) = 1
Rate of change = (-10) / (1) = -10
The y-intercept is the value of y when x = 0. However, since the table does not have a corresponding value for x = 0, we cannot determine the y-intercept from the given table.
To determine the equation of the line, we can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁) is any point on the line. Let's use the point (2, 40).
Slope (rate of change) = -10
x₁ = 2
y₁ = 40
Using the point-slope form:
y - 40 = -10(x - 2)
Now, we can simplify and find the equation of the line:
y - 40 = -10x + 20
y = -10x + 20 + 40
y = -10x + 60
The equation of the line is y = -10x + 60.
Rate of change = (change in y) / (change in x)
For the given table:
Change in y from x = -2 to x = -1: 70 - 80 = -10
Change in x from x = -2 to x = -1: -1 - (-2) = 1
Rate of change = (-10) / (1) = -10
The y-intercept is the value of y when x = 0. However, since the table does not have a corresponding value for x = 0, we cannot determine the y-intercept from the given table.
To determine the equation of the line, we can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁) is any point on the line. Let's use the point (2, 40).
Slope (rate of change) = -10
x₁ = 2
y₁ = 40
Using the point-slope form:
y - 40 = -10(x - 2)
Now, we can simplify and find the equation of the line:
y - 40 = -10x + 20
y = -10x + 20 + 40
y = -10x + 60
The equation of the line is y = -10x + 60.
whats the the y−intercept
To determine the y-intercept, we need to find the value of y when x = 0. However, the given table does not provide a corresponding value for x = 0. Therefore, we cannot determine the y-intercept from the given table.
1 answer