We are given two points representing the price ($p$) per camera and the quantity ($q$) of cameras supplied per month: $(900, 35)$ and $(1500, 50)$. We need to find the linear supply equation in the form $p = mq + b$, where $m$ is the slope and $b$ is the y-intercept.

1. Problem Description

We are given two points representing the price ($p$) per camera and the quantity ($q$) of cameras supplied per month: $(900, 35)$ and $(1500, 50)$. We need to find the linear supply equation in the form $p = mq + b$, where $m$ is the slope and $b$ is the y-intercept.

2. Solution Steps

First, calculate the slope $m$ using the two given points:

$m = \frac{p_2 - p_1}{q_2 - q_1}$

$m = \frac{50 - 35}{1500 - 900} = \frac{15}{600} = \frac{1}{40} = 0.025$

Now, use the point-slope form of a linear equation:

$p - p_1 = m(q - q_1)$

Substitute one of the points (e.g., $(900, 35)$) and the calculated slope $m$:

$p - 35 = 0.025(q - 900)$

$p - 35 = 0.025q - 0.025 \times 900$

$p - 35 = 0.025q - 22.5$

$p = 0.025q - 22.5 + 35$

$p = 0.025q + 12.5$

3. Final Answer

The supply equation is $p = 0.025q + 12.5$.