The graph of linear function g passes through the points (-7,-4) and (7,6) as shown.

What are the slope and y intercept of the graph g?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

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

slope = (change in y) / (change in x)

Using the two points given, we get:

slope = (6 - (-4)) / (7 - (-7))
slope = 10 / 14
slope = 5/7

So, the slope of the linear function g is 5/7.

To find the y-intercept, we can use the slope-intercept form of a linear function, y = mx + b, where m is the slope and b is the y-intercept. Using one of the points to substitute in:

-4 = (5/7)(-7) + b
-4 = -5 + b
b = 1

Therefore, the y-intercept of the linear function g is 1.