Question

1. through: (1, 1), slope = -3
2. slope = 2, y - intercept = -4

Explanation:

Problem 9:

Step 1: Use point - slope form

The point - slope form of a linear equation is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Here, $x_1 = 1$, $y_1=1$ and $m=-3$.
Substitute these values into the formula: $y - 1=-3(x - 1)$

Step 2: Simplify the equation

Expand the right - hand side: $y - 1=-3x + 3$
Add 1 to both sides of the equation: $y=-3x+3 + 1$
Simplify the right - hand side: $y=-3x + 4$

Step 1: Use slope - intercept form

The slope - intercept form of a linear equation is $y=mx + b$, where $m$ is the slope and $b$ is the $y$ - intercept. Here, $m = 2$ and $b=-4$.
Substitute these values into the formula: $y=2x-4$

Answer:

$y=-3x + 4$

Problem 10: