The graph of linear function g passes through the points (-5,-1) and (5,5), as shown. What are the slope and y-intercept of the graph g?
A. The slope is 3/5, and the y-intercept is -2.
B. The slope is 3/5, and the y-intercept is 2.
C. The slope is 5/3, and they-intercept is 2.
D. The slop is 5/3, and the y-intercept is -2
To find the slope, we use the formula:
slope = (change in y) / (change in x)
Using the two given points (-5, -1) and (5, 5), we have:
slope = (5 - (-1)) / (5 - (-5))
= 6 / 10
= 3/5
To find the y-intercept, we can choose any of the two points and substitute it into the equation of a line (y = mx + b), where m is the slope and b is the y-intercept.
Using the point (-5, -1):
-1 = (3/5)(-5) + b
-1 = -3 + b
b = 2
So, the slope is 3/5 and the y-intercept is 2.
Therefore, the correct answer is: B. The slope is 3/5, and the y-intercept is 2.