(6) Give the equation of the line passing through the points (1,5) and (-2, 6) in standard form, Ax + By = C.
Your answer

⅓x + y = 5⅓

or

⅓x + y = 5.3333333

or

⅓x + y = 16/3

Step-by-step explanation:

Solve for slope using rise/run

Y2 - Y1 / X2 - X1

(6) - (5) / (-2) - (1)

1 / -3

Slope: -⅓

y = -⅓x + b

solve for b using one of the points

I'll be using (1,5)

Substitute the point into the equation

5 = -⅓(1) + b

5 = -⅓ + b (add ⅓ to both sides)

+⅓ +⅓

5⅓ = b

5⅓ can also be written as 16/3 or 5.333333

The equation is now:

y = -⅓x + 5⅓

Convert to standard form by adding ⅓x to both sides

y = -⅓x + 5⅓

+⅓x +⅓x

Solution: ⅓x + y = 5⅓