Question Point R divides PQin the ratio 1:3. If the x-coordinate of Ris -1 and the x-coordinate of Pis -3, what is the x-coordinate of Q?

Since Point R divides PQ in the ratio 1:3. the x-coordinate of Q is 3 The question has to do with line division What is line division? This is the division of a line into a given ratio. How to find the coordinate of Q? Since Point R divides PQ in the ratio 1:3. If the x-coordinate of R is -1 and the x-coordinate of P is -3. Let x₁ = coordinate of P = -3, x₂ = coordinate of R = -3 and x₃= coordinate of Q. Since R divides PQ in the ratio, 1:3, we have that PR/RQ = 1/3 (x₂ – x₁)/(x₃ – x₂) = 1/3 Substituting the values of the variables into the equation, we have (x₂ – x₁)/(x₃ – x₂) = 1/3 (-1 – (-3))/(x₃ – (-3)) = 1/3 (-1 + 3)/(x₃ + 3) = 1/3 2/(x₃ + 3) = 1/3 x₃ + 3 = 2 × 3 x₃ + 3 = 6 x₃ = 6 – 3 x₃ = 3 So, the x-coordinate of Q is 3 Learn more about line division here: https://brainly.com/question/13018136 #SPJ1 Reply

x-coordinateof Q is3line division## What is line division?

divisionof alineinto agiven ratio.## How to find the coordinate of Q?

dividesPQ in the ratio 1:3. If the x-coordinate of R is -1 and the x-coordinate of P is -3.dividesPQ in the ratio, 1:3, we have thatPR/RQ = 1/3(x₂ – x₁)/(x₃ – x₂) = 1/3(x₂ – x₁)/(x₃ – x₂) = 1/3x₃ = 3x-coordinateof Q is3line divisionhere: