Question

problem 6.3: write an equation for this line: y = _ x + _

Explanation:

Step1: Find the slope (m)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Using points $(-5, 4)$ and $(4, 4)$:
$m = \frac{4 - 4}{4 - (-5)} = \frac{0}{9} = 0$

Step2: Find the y-intercept (b)

The equation of a line is $y = mx + b$. Since the line passes through $(-5, 4)$ and $m = 0$:
$4 = 0\times(-5) + b \implies b = 4$

Step3: Write the equation

Substitute $m = 0$ and $b = 4$ into $y = mx + b$:
$y = 0x + 4$

Answer:

$y = 0x + 4$ (or simplified as $y = 4$)