The graph of linear function g passes through the points −4, 4 and 4, 6,as shown. What are the slope and y-intercept of the graph g?
To find the slope, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points given to us, (-4, 4) and (4, 6):
slope = (6 - 4) / (4 - (-4)) = 2 / 8 = 1/4
So, the slope of the linear function g is 1/4.
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 the point (-4, 4):
4 = (1/4)(-4) + b
4 = -1 + b
b = 5
Therefore, the y-intercept of the graph g is 5.