What’s the answer to this

3/2

Step-by-step explanation:

y = -2/3x +5

This is in the form y = mx+b where m is the slope and b is the y intercept

-2/3 is the slope

The line perpendicular has a negative reciprocal slope or - 1 over the slope

- 1 /(-2/3)

-1 * (-3/2)

3/2

The slope of the line that is perpendicular is 3/2

a

step-by-step explanation:

< 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)