Question

Find an equation of the line that contains the following pair of points (3,3) and (1,6) The equation of the line is (Simplify your answer. Use integers or fractions for any numbers in the equ

Answer 1

Answer:
`\bold{y=-(3)/(2)x+(15)/(2)}`

Explanation:

First, use the slope formula:
`m=(y_2-y_1)/(x_2-x_1)`

Then input the slope (m) and ONE of the points (x₁, y₁) into the

Point-Slope formula: y - y₁ = m(x - x₁)

`m=(3-6)/(3-1)\quad =(-3)/(2)\quad \implies \quad m=-(3)/(2)\\\\\\\\y-3=-(3)/(2)(x-3)\\\\\\y-3=-(3)/(2)x+(9)/(2)\\\\\\y\quad =-(3)/(2)x+(15)/(2)`