Question

The graph of linear function g passes through the points (2,-1) and (-2,7), 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 can use the formula:

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

Using the given points (2,-1) and (-2,7):

m = (7 - (-1)) / (-2 - 2)
m = (7 + 1) / -4
m = 8 / -4
m = -2

Therefore, the slope of the linear function g is -2.

To find the y-intercept of the linear function g, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Using the point (2, -1) and the slope -2:

y - (-1) = -2(x - 2)
y + 1 = -2x + 4
y = -2x + 3

Therefore, the y-intercept of the linear function g is 3.