derive the equation of the line in slope-intercept from

Question

(0,4) and (1,8)

Answer 1

To find the equation of the line in slope-intercept form, we need to determine both the slope and the y-intercept.

First, let's find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (0,4) and (1,8):

m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4

Now that we have the slope (m = 4), we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.

To find the y-intercept (b), we can use one of the points on the line. Let's use (0,4):

4 = 4(0) + b
4 = 0 + b
b = 4

Therefore, the y-intercept (b) is 4.

Now we can write the equation in slope-intercept form:

y = 4x + 4

Answer 2

write the equation of the line in slope-intercept from

(0,2) and (1, -1)

Answer 3

To find the equation of the line in slope-intercept form, we need to determine both the slope and the y-intercept.

First, let's find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (0,2) and (1, -1):

m = (-1 - 2) / (1 - 0)
m = -3 / 1
m = -3

Now that we have the slope (m = -3), we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.

To find the y-intercept (b), we can use one of the points on the line. Let's use (0,2):

2 = -3(0) + b
2 = 0 + b
b = 2

Therefore, the y-intercept (b) is 2.

Now we can write the equation in slope-intercept form:

y = -3x + 2

Answer 4

write the equation of the line in slope-intercept from

(3,0) and (0,-2)

Answer 5

To find the equation of the line in slope-intercept form, we need to determine both the slope and the y-intercept.

First, let's find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (3, 0) and (0, -2):

m = (-2 - 0) / (0 - 3)
m = -2 / -3
m = 2/3

Now that we have the slope (m = 2/3), we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.

To find the y-intercept (b), we can use one of the points on the line. Let's use (3, 0):

0 = (2/3)(3) + b
0 = 2 + b
b = -2

Therefore, the y-intercept (b) is -2.

Now we can write the equation in slope-intercept form:

y = (2/3)x - 2

Answer 6

given the equation y=2x + 2, what is the slope? write your answer as an integer

the slope is ____.

Answer 7

The slope of the equation y = 2x + 2 is 2.

Answer 8

given the equation y=-2x + 2, what is the slope? write your answer as an integer

the slope is ____.

Answer 9

The slope of the equation y = -2x + 2 is -2.

Answer 10

given the equation y=3/4x - 2, what is the y-intercept? write your answer as an ordered pair

the y-intercept is ____.

Answer 11

The y-intercept of the equation y = (3/4)x - 2 is (0, -2).

Answer 12

derive the equation of the line in slope-intercept from

(1,-1) and (0,-4)

Answer 13

To find the equation of the line in slope-intercept form, we need to determine both the slope and the y-intercept.

First, let's find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (1, -1) and (0, -4):

m = (-4 - -1) / (0 - 1)
m = (-4 + 1) / (0 - 1)
m = -3 / -1
m = 3

Now that we have the slope (m = 3), we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.

To find the y-intercept (b), we can use one of the points on the line. Let's use (0, -4):

-4 = 3(0) + b
-4 = 0 + b
b = -4

Therefore, the y-intercept (b) is -4.

Now we can write the equation in slope-intercept form:

y = 3x - 4

Answer 14

write the equation of the line in slope-intercept from

(0,1) and (1,-4)

Answer 15

To find the equation of the line in slope-intercept form, we need to determine both the slope and the y-intercept.

First, let's find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (0, 1) and (1, -4):

m = (-4 - 1) / (1 - 0)
m = -5 / 1
m = -5

Now that we have the slope (m = -5), we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.

To find the y-intercept (b), we can use one of the points on the line. Let's use (0, 1):

1 = -5(0) + b
1 = 0 + b
b = 1

Therefore, the y-intercept (b) is 1.

Now we can write the equation in slope-intercept form:

y = -5x + 1

Answer 16

the liner equation for y=-3x+2

Answer 17

The equation y = -3x + 2 is already in slope-intercept form, where the slope (m) is -3 and the y-intercept (b) is 2.