Answer
a. Slope = -2
b. y-intercept = 9
c. x-intercept = 9/2
d. Domain = (-∞, ∞)
e. Range = (-∞, ∞)
f. The function is a decreasing function because the slope is negative
Explanation
The given equation is
[tex]y=-2x+9[/tex]
The equation of a line is
[tex]\begin{gathered} y=mx+c \\ \text{Where m is the slope, and c is the y-intercept} \end{gathered}[/tex]
Therefore, m = -2, c = 9
a. Slope = -2
b. y-intercept = 9
To find x-intercept, plug in y = 0
This implies
[tex]\begin{gathered} 0=-2x+9 \\ 2x=9 \\ x=\frac{9}{2} \end{gathered}[/tex]
c. x-intercept = 9/2
d. Domain = (-∞, ∞)
e. Range = (-∞, ∞)
f. The function is a decreasing function because the slope is negative
