Write the equation of the line in slope-intercept form. (0,2) (1,-1)
To find the equation of the line in slope-intercept form, we need to determine the slope of the line (m) and the y-intercept (b).
Given the points (0,2) and (1,-1), we can find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the values (x1, y1) = (0, 2) and (x2, y2) = (1, -1):
m = (-1 - 2) / (1 - 0) = -3/1 = -3
Now that we have the slope (m), we can use the slope-intercept form of a line, y = mx + b, and the coordinates of one of the points (0, 2) to find the y-intercept (b).
Using the point (0, 2), we have:
2 = -3(0) + b
2 = 0 + b
b = 2
Therefore, the equation of the line in slope-intercept form is:
y = -3x + 2
Write the equation of the line in slope-intercept form. (3,0) (0,-2)
To find the equation of the line in slope-intercept form, we need to determine the slope of the line (m) and the y-intercept (b).
Given the points (3,0) and (0,-2), we can find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the values (x1, y1) = (3, 0) and (x2, y2) = (0, -2):
m = (-2 - 0) / (0 - 3) = -2/-3 = 2/3
Now that we have the slope (m), we can use the slope-intercept form of a line, y = mx + b, and the coordinates of one of the points (3, 0) to find the y-intercept (b).
Using the point (3, 0), we have:
0 = (2/3)(3) + b
0 = 2 + b
b = -2
Therefore, 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.
The slope of the equation y = -2x + 2 is -2.
Given the equation y=34x−2 what is the y -intercept? Write your answer as an ordered pair.
The y-intercept of the equation y = 34x - 2 can be found by setting x = 0 and solving for y.
y = 34(0) - 2
y = -2
Therefore, the y-intercept is (0, -2).
Given the equation y=3/4x−2 what is the y -intercept? Write your answer as an ordered pair.
The y-intercept of the equation y = (3/4)x - 2 can be found by setting x = 0 and solving for y.
y = (3/4)(0) - 2
y = -2
Therefore, the y-intercept is (0, -2).
Using the graph, derive the equation of the line in slope-intercept form. (1,-1) (0,-4)
(1 point)
Responses
y=3x+4
y equals 3 x plus 4
3x−y=4
3 x minus y equals 4
y=3x−4
y equals 3 x minus 4
y=−3x−4