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

Answer:

$\frac{1}{2}$

Step-by-step 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

$-\frac{3 + 2}{-2 + 4} = -\frac{1}{2} \\ \\ \frac{1}{2} ≠ -\frac{1}{2}$

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

$\frac{-3 + 4}{-2 + 4} = \frac{1}{2}$

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

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