Question

Given the graph below, answer the following questions. -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 x y A B a. What is the function that represents line A?

Answer 1

Line A is a straight line that passes through the points (-2, 4) and (4, 10).

To find the equation of the line, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, let's calculate the slope (m):

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

m = (10 - 4) / (4 - (-2))

m = 6 / 6

m = 1

Now, let's use one of the points, say (-2, 4), and substitute it into the equation to find the y-intercept (b):

4 = 1(-2) + b

4 = -2 + b

b = 6

Therefore, the equation of line A is y = x + 6.