Question

line cd passes through points c(1, 3) and d(4, -3). if the equation of the line is written in slope - intercept form, ( y = mx + b ), what is the value of ( b )?
( circ - 5 )
( circ - 2 )
( circ 1 )
( circ 5 )

Explanation:

Step1: Calculate slope $m$

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 3}{4 - 1} = \frac{-6}{3} = -2$

Step2: Substitute point $C$ and $m$

Substitute $(1, 3)$ and $m=-2$ into $y=mx+b$:
$3 = (-2)(1) + b$

Step3: Solve for $b$

$3 = -2 + b$
$b = 3 + 2 = 5$

Answer:

5