Question

A line passes through the points (0,0) and (16, -2). What is its equation in slope-intercept

form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

Answer: y = -1/8x

Explanation:

Given: Points (0,0) and (16,-2)

Slope is defined as the difference between the y points divided by the difference between the x points

y₂ - y₁ / x₂ - x₁

Step 1: Find the slope

-2 - 0 / 16 - 0 = -2/16 = -1/8

This is the slope

Step 2: Find the y intercept

The point at which x is zero occurs where y is zero, so the y-intercept is zero

y-intercept = 0

Step 3: Write the equation

y = -1/8x or y = -1/8x + 0