Derive the equation of the line in slope-intercept form.
(0,4) (1,8)
To find the equation of the line in slope-intercept form, we need to use the formula:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, let's find the slope (m) of the line using the given points (0,4) and (1,8).
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates (x1, y1) = (0,4) and (x2, y2) = (1,8):
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Now that we have the slope, we can substitute it into the equation to find the value of b.
Using the slope-intercept form, and substituting the point (1,8):
8 = 4(1) + b
8 = 4 + b
Subtracting 4 from both sides:
8 - 4 = b
4 = b
Now we have the value of b.
The equation of the line in slope-intercept form is:
y = 4x + 4
Write the equation of the line in slope-intercept form.
(1,-1) (0,2)
To find the equation of the line in slope-intercept form, we will use the formula:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, let's find the slope (m) of the line using the given points (1,-1) and (0,2).
m = (y2 - y1)/(x2 - x1)
Plugging in the coordinates (x1, y1) = (1,-1) and (x2, y2) = (0,2):
m = (2 - (-1))/(0 - 1)
m = 3/(-1)
m = -3
Now that we have the slope, we can substitute it into the equation to determine the value of b.
Using the slope-intercept form and substituting the point (1,-1):
-1 = -3(1) + b
-1 = -3 + b
Adding 3 to both sides:
2 = b
Now we have the value of b.
The equation of the line in slope-intercept form is:
y = -3x + 2
Write the equation of the line in slope-intercept form.
(0,-2) (3,0)
To find the equation of the line in slope-intercept form, we will use the formula:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, let's find the slope (m) of the line using the given points (0,-2) and (3,0).
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates (x1, y1) = (0,-2) and (x2, y2) = (3,0):
m = (0 - (-2)) / (3 - 0)
m = 2 / 3
Now that we have the slope, we can substitute it into the equation to determine the value of b.
Using the slope-intercept form and substituting the point (3,0):
0 = (2/3)(3) + b
0 = 2 + b
Subtracting 2 from both sides:
-2 = b
Now we have the value of b.
The equation of the line in slope-intercept form is:
y = (2/3)x - 2
Given the equation
y = - 2x + 2, what is the slope?
Write your answer as an integer.
(1 point)
The slope is
Given the equation
y = - 2x + 2, what is the slope?
Write your answer as an integer.
(1 point)
The slope is?
Given the equation
y = - 2x + 2, what is the slope?
Write your answer as an integer.
What is the slope
The slope of the equation y = -2x + 2 is -2.
Given the equation y =
3/4x - 2
what is the y-intercept? Write your answer as an ordered pair.
(1 point)
The y-intercept is?
The y-intercept of the equation y = (3/4)x - 2 is the point (0, -2).
(0,-4) (1,-1)
Using the graph, derive the equation of the line in slope-intercept form.
(1 point)
0 y =-3x-4
0 y=3x -4
0 3x - y = 4
0 y =3х + 4
To derive the equation of the line in slope-intercept form, we need to find the slope and the y-intercept using the given points (0, -4) and (1, -1).
First, let's find the slope (m) of the line using the formula:
m = (y2 - y1)/(x2 - x1)
Substituting the coordinates (x1, y1) = (0, -4) and (x2, y2) = (1, -1):
m = (-1 - (-4))/(1 - 0)
m = 3/1
m = 3
Now that we have the slope, we can substitute it into the equation to find the y-intercept (b).
Using the slope-intercept form, and substituting the point (0, -4):
-4 = 3(0) + b
-4 = 0 + b
b = -4
Now we have the value of the y-intercept.
The equation of the line in slope-intercept form is:
y = 3x - 4