The equation below gives parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x= 5t + 6, y = 15t – 3; - 0

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 43CT: Rotate the axes to eliminate the xy -term in the equation x2+xy+y2+2x3y30=0. Then write the equation...
Question
The equation below gives parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle's path by finding a Cartesian
equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.
x= 5t + 6, y = 15t - 3; - 00 <t< o0
Find a Cartesian equation for the particle's path.
y=0
Transcribed Image Text:The equation below gives parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x= 5t + 6, y = 15t - 3; - 00 <t< o0 Find a Cartesian equation for the particle's path. y=0
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