Is y=4(x)+9 a linear function. Use a sentence to explain your reasoning.
y increases by four times any increase in x for any value of x so the slope is constant and the relationship is linear.
Yes, y=4(x)+9 is a linear function.
A linear function is a mathematical function where the highest power of the variable is 1. In this case, the variable "x" is raised to the power of 1, and there are no higher powers or additional terms involving "x". Therefore, it meets the criteria of a linear function.
Yes, y=4(x)+9 is a linear function.
To determine if an equation is linear, we need to check if it follows the form y = mx + b, where m is the slope and b is the y-intercept.
In this case, the equation y=4(x)+9 matches the form y=mx+b, where m=4 and b=9.
Since the equation follows the standard form of a linear function, it is indeed linear.