To find the slope of the line passing through points A(0, 6) and B(-2, 2), we will use the formula:
Slope (m) = (y2 - y1) / (x2 - x1)
The coordinates of A are x1 = 0 and y1 = 6, and the coordinates of B are x2 = -2 and y2 = 2.
Substitute these values into the formula:
m = (2 - 6) / (-2 - 0)
m = (-4) / (-2)
m = 2
Therefore, the slope of the line is 2.
To find the y-intercept, we can use the slope-intercept form of a linear equation:
y = mx + b
where m is the slope and b is the y-intercept.
We know the slope m = 2 and can use point A(0, 6) as it lies on the line.
6 = 2(0) + b
6 = b
Therefore, the y-intercept b = 6.
The slope of the line is 2 and the y-intercept is 6.
Identify the slope and The Intercept of the line. Provide the most simplified from of the slope.
A = 0,6 B -2,2
1 answer
1 answer