Line slope form (3,2),(0,3)
To find the slope of the line passing through the points (3,2) and (0,3), we can use the formula:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) = (3,2) and (x2, y2) = (0,3).
Plugging in the values, we get:
m = (3 - 2) / (0 - 3)
m = 1 / (-3)
m = -1/3
Therefore, the slope of the line is -1/3.
Now, to write the equation of the line in slope-intercept form (y = mx + b), we need to find the y-intercept (b). We can choose either of the given points to plug into the equation.
Using point (3,2):
2 = (-1/3)(3) + b
2 = -1 + b
b = 2 + 1
b = 3
Therefore, the equation of the line passing through the points (3,2) and (0,3) is y = (-1/3)x + 3 in slope-intercept form.
To find the slope of a line in slope-intercept form given two points, you can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (3,2) and (0,3), you can substitute the coordinates into the formula to find the slope (m).
m = (2 - 3) / (3 - 0)
m = -1 / 3
Therefore, the slope of the line passing through the points (3,2) and (0,3) is -1/3.