The equation y - 2 = -5(x - 2) represents a linear function ⇒ 1st answer
Step-by-step explanation:
A linear function is any function that graphs to a straight line
(not a vertical line)
The forms of the linear equation are
- y = m x + b, where m is the slope of the line which represents the function and b is the y-intercept ⇒ slope-intercept form
- [tex]y-y_{1}=m(x-x_{1})[/tex], where m is the slope and [tex](x_{1},y_{1})[/tex] is a point lies on the line which represent the function ⇒ slope-point form
- Ax + By = C, where A, B, and C are constant ⇒ standard form
Linear function means the greatest power x and y in the equation of the function is 1
∵ The equation is y - 2 = -5(x - 2)
∵ The greatest power of x and y is 1
∵ The equation is in the form of [tex]y-y_{1}=m(x-x_{1})[/tex], where
m = -5 and the coordinates of the point are (2 , 2)
∴ The equation represents a linear function
The equation y - 2 = -5(x - 2) represents a linear function
Learn more:
You can learn more about the linear function in brainly.com/question/4326955
#LearnwithBrainly
