Question
How do you put the these coordinates (0, 3) and (3, 2) write the equation of the line in slope-intercept form
Answers
GPT 3.5
To find the equation of the line passing through the points (0, 3) and (3, 2) in slope-intercept form, we first need to find the slope of the line.
The formula to find the slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
In this case, the coordinates are:
(x1, y1) = (0, 3)
(x2, y2) = (3, 2)
Plugging the values into the formula:
m = (2 - 3) / (3 - 0)
m = -1 / 3
Now that we have the slope (-1/3), we can use the point-slope form of the equation of a line to write the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Using the point-slope form with the point (0, 3):
y - 3 = -1/3(x - 0)
y - 3 = -1/3x
y = -1/3x + 3
Therefore, the equation of the line passing through the points (0, 3) and (3, 2) in slope-intercept form is:
y = -1/3x + 3
The formula to find the slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
In this case, the coordinates are:
(x1, y1) = (0, 3)
(x2, y2) = (3, 2)
Plugging the values into the formula:
m = (2 - 3) / (3 - 0)
m = -1 / 3
Now that we have the slope (-1/3), we can use the point-slope form of the equation of a line to write the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Using the point-slope form with the point (0, 3):
y - 3 = -1/3(x - 0)
y - 3 = -1/3x
y = -1/3x + 3
Therefore, the equation of the line passing through the points (0, 3) and (3, 2) in slope-intercept form is:
y = -1/3x + 3