X = 0 9 18 Y = 3 6 9
identify the slope and y-intercept of the line provide the most simplified form of the slope
To identify the slope and y-intercept of the line, we can use the formula for the slope of a line which is given by:
slope = (Y2 - Y1) / (X2 - X1)
Let's take the first two points (0,3) and (9,6) to calculate the slope:
slope = (6 - 3) / (9 - 0)
slope = 3 / 9
slope = 1/3
So, the slope of the line is 1/3.
Now, we can find the y-intercept by substituting one of the points into the equation of a line:
y = mx + b, where m is the slope and b is the y-intercept
Using the point (0,3) and the slope we calculated earlier:
3 = (1/3)*0 + b
3 = b
So, the y-intercept of the line is 3.
Therefore, the slope of the line is 1/3 and the y-intercept is 3.