The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of change between the points (–3, 0) and (–2, –5)? x y –5 10 –4 5 –3 0 –2 –5 –5 Negative StartFraction 1 Over 5 EndFraction One-fifth 5

'-5'

Step-by-step explanation:

The table is a linear function. This means that all the points have a consistent slope. If two points had a different slope, it would be a nonlinear function.

Slope is rise over run. We are given the points (-3,0) and (-2,-5).

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

idk

step-by-step explanation:

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