Question

A rectangle is graphed on the coordinate grid.Which represents the equation of the side that is parallel to side ,s,?A) y=-x+9B) y=-x-3C) y=x+9D) y=x-3

Answer 1

The side parallel to s is side q. Its endpoints are Point 1 (x1,y1) = 3,6 and Point 2 (x2,y2) = 6,3.

Let's determine the equation of side q.

Step 1: Determining the slope (m).

`\text{ Slope = }(y_2-y_1)/(x_2-x_1)`
`\text{ = }\frac{\text{ 6 - 3}}{\text{ 3 - 6}}`
`\text{ = }\frac{\text{ 3}}{\text{ -3}}`
`\text{ Slope = -1}`

Step 2: Let's determine the y-intercept (b). Substitute x,y = 3,6 and m = -1 in y = mx + b.

`\text{ y = mx + b}`
`\text{ 6 = (-1)(3) + b}`
`\text{ 6 = -3 + b}`
`\text{ 6 + 3 = b}`
`\text{ 9 = b}`

Step 3: Complete the equation. Substitute m = -1 and b = 9 in y = mx + b.

`\text{ y = mx + b}`
`\text{ y = (-1)x + (9)}`
`\text{ y = -x + 9}`

Therefore, the answer is letter A : y = -x + 9