To find the slope of the graph, we use the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (2, -1) and (-2, 7), we have:
x1 = 2, y1 = -1
x2 = -2, y2 = 7
slope = (7 - (-1)) / (-2 - 2)
slope = (7 + 1) / -4
slope = 8 / -4
slope = -2
The slope of the graph 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.
Using one of the points given, let's use (2, -1):
-1 = -2(2) + b
-1 = -4 + b
b = 3
Therefore, the y-intercept of the graph is 3.
In summary, the slope of the graph is -2 and the y-intercept is 3.
The graph of linear function g passes through the points (2, -1) and (-2, 7), as shown. What are the slope and y-intercept of the graph g?
1 answer