The linear function that maps the diagram is:
[tex]y = -5x + 1[/tex]
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
In the diagram, when [tex]x = 0, y = 1[/tex], thus, the y-intercept is [tex]n = 1[/tex], and:
[tex]y = mx + 1[/tex]
Point (1,-4) is on the diagram, which means that when [tex]x = 1, y = -4[/tex], and this is used to find m.
[tex]y = mx + 1[/tex]
[tex]-4 = m + 1[/tex]
[tex]m = -5[/tex]
Then, the equation is:
[tex]y = -5x + 1[/tex]
A similar problem is given at https://brainly.com/question/16302622
