Find parametric equations for the following curve. include an interval for the parameter values. the line that passes through the points (- 4, 3) and (2, - 5). oriented in the direction of increasing x.

choose the correct set of parametric equations and interval below.

a. x = -4 + 3t, y = 3 - 4t: - 2 lessthanorequalto t lessthanorequalto 3

b. x = - 4 + 3t, y = 3 - 4t: - infinity < t < infinity

c. x = 3 - 4t, y = - 4 + 3t: - infinity < t < infinity

d. x = 3 - 4t, y = - 4+ 3t: -2 lessthanorequalto t lessthanorequalto 3

A. x = -4 + 3t, y = 3 - 4t: - 2 lessthanorequalto t lessthanorequalto 3

Step-by-step explanation:

Given that a line in two dimension passes through (-4,3) and (2,-5) oriented in the direction of increasing x

We can write the line equation in parametric form as

The values of t when x=-4 is 0 and when x =2 is 1

So t varies from 0 to 1

If instead of t we give t' say which is t +2

then we have

t he parametric equations as

x =-4+3t and y = 3-4t

For  x=-4, t =2 and for x = 2 , t =3

So option A is right.

the last choice

step-by-step explanation:

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