Question

Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?

Answer 1

The numerator of an equation to find the slopes are the difference of the y-coordinates, in this case; 6 - 4 = 2.
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Hope this helps!

Answer 2

The equation for slope is $\frac{ y_{1}- y_{2} }{ x_{1}- x_{2} }$, where y₁, y₂, x₁, and x₂ are the y- and x-values of two coordinates, respectively. The values would be as follows:

y₁ = 4
y₂ = 6
x₁ = 0
x₂ = 2

If you substitute these values into the equation, the numerator becomes $4-6$, which simplifies to -2.