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