Identify the slope and y -intercept of the line. Provide the most simplified form of the slope.
x/0/9/18
y/3/6/9
To find the slope and y-intercept of the line passing through the points (0, 3) and (18, 9), we first need to calculate the slope.
Slope (m) = (y2 - y1) / (x2 - x1)
m = (9 - 3) / (18 - 0)
m = 6 / 18
m = 1/3
Therefore, the slope of the line (in its most simplified form) is 1/3.
To find the y-intercept, we can choose one of the given points. Let's use the point (0, 3).
The equation of the line in slope-intercept form (y = mx + b) is:
y = (1/3)x + b
Substitute the values of x and y from the point (0, 3) into the equation:
3 = (1/3)(0) + b
3 = 0 + b
b = 3
Therefore, the y-intercept of the line is 3. The slope is 1/3, and the y-intercept is 3.