Question

Complete the slope-intercept form of an equation that represents the relationship in the table.
x | y
1 | -1
4 | 8

Answer 1

Complete the slope-intercept form of an equation that represents the relationship in the table.
x | y
-5 | -21
-1 | -5
2 | 7

Answer 2

Complete the slope-intercept form of an equation that represents the relationship in the table.
x | y
0 | 4
4 | 0

Answer 3

Complete the slope-intercept form of an equation that represents the relationship in the table.
x | y
0 | -1
4 | 0

Answer 4

Complete the slope-intercept form of an equation that represents the relationship in the table.
x | y
-3 | 3(1/4)
1 | -(3/4)
4 | -3(3/4)

Answer 5

To find the equation in slope-intercept form, we need to first find the slope of the line using the two points from the table.

Slope (m) = (change in y) / (change in x)
Slope = (8 - (-1)) / (4 - 1)
Slope = 9 / 3
Slope = 3

Now that we have the slope, we can use one of the points to solve for the y-intercept (b). Let's use the point (1, -1) for this.

y = mx + b
-1 = 3(1) + b
-1 = 3 + b
b = -1 - 3
b = -4

So, the equation in slope-intercept form is:
y = 3x - 4

Answer 6

To find the equation in slope-intercept form, we first need to find the slope of the line using two points from the table. Let's use the points (-5, -21) and (-1, -5) to find the slope.

Slope (m) = (change in y) / (change in x)
Slope = (-5 - (-21)) / (-1 - (-5))
Slope = 16 / 4
Slope = 4

Now that we have the slope, we can use one of the points to solve for the y-intercept (b). Let's use the point (-5, -21) for this.

y = mx + b
-21 = 4(-5) + b
-21 = -20 + b
b = -21 + 20
b = -1

So, the equation in slope-intercept form is:
y = 4x - 1

Answer 7

To find the equation in slope-intercept form, we need to first find the slope of the line using the two points from the table: (0, 4) and (4, 0).

Slope (m) = (change in y) / (change in x)
Slope = (0 - 4) / (4 - 0)
Slope = -4 / 4
Slope = -1

Now that we have the slope, we can use one of the points to solve for the y-intercept (b). Let's use the point (0, 4) for this.

y = mx + b
4 = -1(0) + b
4 = 0 + b
b = 4

So, the equation in slope-intercept form is:
y = -x + 4

Answer 8

To find the equation in slope-intercept form, we first need to find the slope of the line using the two points from the table: (0, -1) and (4, 0).

Slope (m) = (change in y) / (change in x)
Slope = (0 - (-1)) / (4 - 0)
Slope = 1 / 4

Now, we have the slope (m = 1/4). To find the y-intercept (b), we can use either point from the table. Let's use the point (0, -1).

y = mx + b
-1 = (1/4)(0) + b
-1 = b

Therefore, the equation in slope-intercept form is:
y = (1/4)x - 1

Answer 9

First, we need to convert the y-values to decimals to make our calculations easier:

-3 | 3(1/4) = -3 | 0.75
1 | -(3/4) = 1 | -0.75
4 | -3(3/4) = 4 | -2.25

Next, we calculate the slope using the two points (1, -0.75) and (4, -2.25):

Slope (m) = (change in y) / (change in x)
Slope = (-2.25 - (-0.75)) / (4 - 1)
Slope = -1.5 / 3
Slope = -0.5

Now, we can use one of the points to find the y-intercept (b). Let's use the point (1, -0.75) to find b:

y = mx + b
-0.75 = -0.5(1) + b
-0.75 = -0.5 + b
b = -0.75 + 0.5
b = -0.25

Therefore, the equation in slope-intercept form is:
y = -0.5x - 0.25