The graph of linear function g passes through the points 4,−1and −8, −4,as shown. What are the slope and y-intercept of the graph g?
To find the slope of the linear function g, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (4, -1) and (-8, -4):
slope = (-4 - (-1)) / (-8 - 4) = (-3) / (-12) = 1/4
So, the slope of the linear function g is 1/4.
To find the y-intercept, we can use the point-slope form of a linear equation:
y = mx + b
Using the point (4, -1) and the slope we found (1/4):
-1 = (1/4)(4) + b
-1 = 1 + b
b = -2
Therefore, the y-intercept of the graph g is -2.