The graph of linear function g passes through the points 2, −1and −2, 7,as shown. What are the slope and y-intercept of the graph g?
To find the slope, we need to calculate the difference in the y-values divided by the difference in the x-values between the two given points: (7-(-1))/(−2-2) = 8/-4 = -2
So, the slope of the linear function g is -2.
To find the y-intercept, we can plug one of the given points into the equation of the line and solve for the y-intercept. Let's use the point (2, -1):
-1 = -2(2) + b
-1 = -4 + b
b = 3
Therefore, the y-intercept of the linear function g is 3.
In conclusion, the slope of the graph g is -2 and the y-intercept is 3.