What is the slope of the line?

3/5

explanation: it goes up 3 and 5 to the right

3/5

Step-by-step explanation:

There are two ways you can solve this.

Option one: Looking at the graph.

You can determine that the rise over run of this graph is 3/5, because the line rises up three units and runs to the right five units at the same time. Rise = y2-y1. Run = x2-x1. y2, y1 are the y values in the 2nd and first given coordinate respectively. x2, x1 are the x values in the 2nd and first given coordinate respectively.

Option two: Calculating it.

You see the two points given, which are (5,5), and (0,2). To find the average slope in between those two points, you would subtract five from two, and then divide that answer by five. The equation would be (2-5)/(0-5). The answer you'd get is -3/-5, BUT, dividing a negative number by a negative number gives you a positive. This method is exactly the same as the first method, except it isn't mental math if you use a calculator.

< 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)