plot the point on this function with an x - value of - 9. what is the y - value of this point?

Explanation:

Step1: Identify two points on the line

Let's take two clear points on the line. For example, when (x = - 6), (y=-2) (point ((-6,-2))) and when (x=-2), (y = 10) (point ((-2,10)))

Step2: Calculate the slope (m)

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Substitute (x_1=-6,y_1 = - 2,x_2=-2,y_2 = 10) into the formula: (m=\frac{10-(-2)}{-2-(-6)}=\frac{10 + 2}{-2 + 6}=\frac{12}{4}=3)

Step3: Use the point - slope form (y - y_1=m(x - x_1))

Use the point ((-6,-2)) and (m = 3). The point - slope form is (y-(-2)=3(x-(-6))) Simplify it: (y + 2=3(x + 6)) Expand: (y+2=3x+18) Solve for (y): (y=3x + 16)

Step4: Find the (y) - value when (x=-9)

Substitute (x=-9) into (y = 3x+16) (y=3\times(-9)+16=-27 + 16=-11)

Answer:

(-11)