Question

is the function $y = \frac{9}{7} + \frac{3}{10}x$ linear or nonlinear? linear nonlinear

Explanation:

Step1: Recall linear function form

A linear function is in the form \( y = mx + b \), where \( m \) (slope) and \( b \) (y - intercept) are constants, and the exponent of \( x \) is 1.

Step2: Analyze the given function

The given function is \( y=\frac{9}{7}+\frac{3}{10}x \). We can rewrite it as \( y = \frac{3}{10}x+\frac{9}{7} \), which matches the form \( y = mx + b \) with \( m=\frac{3}{10} \) and \( b = \frac{9}{7} \), and the exponent of \( x \) is 1.

Answer:

linear