The graph of linear function g passes through the points −5,−1and 5, 5,as shown. What are the slope and y-intercept of the graph g

Answer 1

We can first find the slope of the line using the formula:

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

To find the change in y, we subtract the y-coordinates of the two points:

change in y = 5 - (-1) = 6

To find the change in x, we subtract the x-coordinates of the two points:

change in x = 5 - (-5) = 10

Therefore, the slope is:

slope = (change in y)/(change in x) = 6/10 = 3/5

The y-intercept is the value of y when x = 0. To find the y-intercept, we can substitute one of the points into the equation of the line. Let's use the point (5, 5):

5 = (3/5)(5) + b

Multiplying both sides of the equation by 5, we get:

25 = 15 + 5b

Subtracting 15 from both sides of the equation, we get:

10 = 5b

Dividing both sides of the equation by 5, we get:

b = 2

Therefore, the y-intercept is 2.

So the slope of the graph g is 3/5 and the y-intercept is 2.