Question

Graph the line that passes through the points (2, 1) and (1, -2) and determine the equation of the line.

Answer 1

y = 3x - 5

Explanation:

Slope Formula:
`m = (y2-y1)/(x2-x1)`

Slope-Intercept Form: y = mx + b

Step 1: Find slope

m = (-2 - 1)/(1 - 2)

m = 3

Step 2: Find b

y = 3x + b

-2 = 3(1) + b

-2 = 3 + b

b = -5

Step 3: Rewrite linear equation

y = 3x - 5

Step 4: Graph using graphing calc