Question

The points (–6, 0) and (–4, 2) fall on a particular line. What is its equation in slope-intercept form?

Answer 1

Answer:

The answer to your question is    y = x + 6

Step-by-step explanation:

Data

A (-6, 0)

B (-4, 2)

Process

1.- Calculate the slope of the line

x1 = -6   y1 = 0

x2 = -4   y2 = 2

Slope = (y2 - y1)/(x1 - x2)

Substitution

Slope = (2 - 0)/(-4 + 6)

Simplification

Slope = 2/2

Slope = m = 1

2.- Find the equation of the line

Formula

             y - y1 = m(x - x1)

Substitution

             y - 0 = 1(x + 6)

Simplification

             y = x + 6

Result

             y = x + 6