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?
A. The slope is 1/4, and the y-intercept is 5
B. The slope is 1/4, and the y-intercept is -5.
C. The slope is 2/3, and the y-intercept is 5
D. The slope is 2/3, and the y-intercept is -5
To find the slope of the linear function, we use the formula:
slope = (change in y)/(change in x)
Given the points (-4,4) and (4,6), the change in y is 6 - 4 = 2 and the change in x is 4 - (-4) = 8.
Therefore, the slope is 2/8 = 1/4.
To find the y-intercept, we can substitute the coordinates of one of the points into the slope-intercept form of the linear equation (y = mx + b), where m is the slope and b is the y-intercept.
Let's use the point (-4,4):
4 = (1/4)(-4) + b
4 = -1 + b
b = 5
So the y-intercept is 5.
Therefore, the correct answer is A. The slope is 1/4, and the y-intercept is 5.