Problemas
Question 6 (1 point) The graph of 9x-10y=19 is translated down 4 units in the xy-plane . What is the x <coordinate of the x-intercept t of the resulting graph? __ (enter fraction, use/for fraction) Blank 1: square
Roztwór
Gerardo
professionell · Tutor durante 6 años
4.7
(276 Votos)
Respuesta
To find the x-coordinate of the x-intercept of the resulting graph after translating the graph of
down 4 units, we need to follow these steps:1. Find the equation of the translated graph.2. Find the x-intercept of the translated graph.Step 1: Find the equation of the translated graph.The equation of the translated graph can be found by subtracting 4 from the y-coordinate of every point on the original graph. This is because translating a graph down or up involves changing the y-coordinates of the points while keeping the x-coordinates the same.The equation of the original graph is
. To translate this down 4 units, we subtract 4 from the y-coordinate in the equation. This gives us the equation of the translated graph:
Simplifying this equation, we get:
Step 2: Find the x-intercept of the translated graph.To find the x-intercept, we set y = 0 in the equation and solve for x:
Simplifying this equation, we get:
Subtracting 40 from both sides, we get:
Dividing both sides by 9, we get:
Simplifying the fraction, we get:
Therefore, the x-coordinate of the x-intercept of the resulting graph is
.