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12. what is the y - value when x = -9? type a response

Question

  1. what is the y - value when x = -9? type a response

Explanation:

Step1: Find two points on the line

The line passes through $(0, 3)$ and $(1,0)$.

Step2: Calculate the slope

The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 3}{1-0}=- 3$.

Step3: Write the equation of the line in slope - intercept form

The slope - intercept form is $y=mx + b$, where $m=-3$ and $b = 3$ (the y - intercept, when $x = 0$), so $y=-3x + 3$.

Step4: Substitute $x=-9$

When $x=-9$, $y=-3\times(-9)+3$.
$y = 27 + 3=30$.

Answer:

30