Question

What is the slope of the line with equation y−3=1/2(x−2)?

A coordinate plane with a line passing through the points at (2, 3) and (4, 2).

–2
–1/2
1/2
2

Answer 1

`(1)/(2)`

Explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), m represents the rate of change [slope], so the slope is half, however, your ordered pairs do not match this; [4, 2] needs to be altered:

-y₁ + y₂\-x₁ + x₂ = m

`-(3 + 2)/(-2 + 4) = -(1)/(2) \\ \\ (1)/(2) ≠ -(1)/(2)`

Perhaps you meant to write the ordered pair of [4, 4]:

`(-3 + 4)/(-2 + 4) = (1)/(2)`

You see? The ordered pair of [4, 4] makes the slope genuine.

I am joyous to assist you anytime.