According to the linear function concept, the correct answer is:
B. linear
Additionally:
- When x = 0, [tex]\frac{8}{7}[/tex].
What is a linear function?
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, the function is:
[tex]3x + 7y = 8[/tex]
Placing into standard format:
[tex]7y = 8 - 3x[/tex]
[tex]y = \frac{8}{7} - \frac{3x}{7}[/tex]
Hence it is a linear function.
When x = 0:
[tex]y = \frac{8}{7} - \frac{3(0)}{7} = \frac{8}{7}[/tex]
When y = 2:
[tex]y = \frac{8}{7} - \frac{3x}{7}[/tex]
[tex]2 = \frac{8}{7} - \frac{3x}{7}[/tex]
[tex]8 - 3x = 14[/tex]
[tex]3x = -6[/tex]
[tex]x = -\frac{6}{3}[/tex]
[tex]x = -2[/tex]
You can learn more about linear functions at https://brainly.com/question/25898120
