#23. The graph of linear function g passes through the points −5,−1and 5, 5,as shown. What are the slope and y-intercept of the graph g?

Answer 1

To find the slope of the linear function g, we use the formula:

slope = (y2 - y1) / (x2 - x1)

Using the points (-5, -1) and (5, 5):

slope = (5 - (-1)) / (5 - (-5))
slope = (5 + 1) / (5 + 5)
slope = 6 / 10
slope = 0.6

Now, to find the y-intercept, we can use the point-slope form of a linear equation:

y = mx + b

Using the point (-5, -1) and the slope of 0.6:

-1 = 0.6*(-5) + b
-1 = -3 + b
b = 2

Therefore, the slope of the linear function g is 0.6 and the y-intercept is 2.