What is the slope and the y-intercept of the line on the graph below? slope = –4, y-intercept = 1 slope = –4, y-intercept = 4 slope = -1/4, y-intercept = 1 slope = -1/4, y-intercept = 4

slope = change in y / change is x

slope = rise / run

change in y = -1 (goes down 1)

change is x = 4 (goes right 4)

slope = -1/4

y-intercept, when x = 0

y-intercept = 1 = (0,1)

Option C is correct.

Step-by-step explanation:

Given the graph we have to find the slope and y intercept of given line.

The graph passes through the points (4,0) and (0,1)

As graph passes through the points ((4,0) and (0,1)

The slope is

The y-intercept is the point of y-axis at which the line crosses the y-axis

Here the graph crosses the y-axis at 1 therefore y-intercept in 1

Hence, Option C is correct.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.