Question
How do you put the these coordinates (0, 2) and (1, -1) write the equation of the line in slope-intercept form
Answers
GPT 3.5
To find the equation of a line in slope-intercept form (y = mx + b) given two points, you first need to find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Given points (0, 2) and (1, -1), you can plug in the values and calculate the slope as follows:
m = (-1 - 2) / (1 - 0)
m = -3 / 1
m = -3
Now that you have the slope (m = -3), you can substitute this value along with one of the points into the slope-intercept form equation (y = mx + b) to solve for the y-intercept (b).
Using the point (0, 2):
2 = -3(0) + b
b = 2
Now that you have the y-intercept (b = 2) and the slope (m = -3), you can write the equation of the line in slope-intercept form:
y = -3x + 2
Therefore, the equation of the line passing through points (0, 2) and (1, -1) in slope-intercept form is y = -3x + 2.
m = (y2 - y1) / (x2 - x1)
Given points (0, 2) and (1, -1), you can plug in the values and calculate the slope as follows:
m = (-1 - 2) / (1 - 0)
m = -3 / 1
m = -3
Now that you have the slope (m = -3), you can substitute this value along with one of the points into the slope-intercept form equation (y = mx + b) to solve for the y-intercept (b).
Using the point (0, 2):
2 = -3(0) + b
b = 2
Now that you have the y-intercept (b = 2) and the slope (m = -3), you can write the equation of the line in slope-intercept form:
y = -3x + 2
Therefore, the equation of the line passing through points (0, 2) and (1, -1) in slope-intercept form is y = -3x + 2.