Question

Write an equation in slope-intercept form of the line with the given parametric equations.
x = -3t+5
y = 8t+9

Answer 1

Answer:y = $\frac{-8x}{3} + \frac{67}{3}$

Step-by-step explanation:

to do this, write t in terms of x, then substitute t in y

Write t in terms of x

x = -3t + 5

x - 5 = -3t

t = -x/3 + 5/3

Substitute t in y

t = -x/3 + 5/3

y = 8t + 9

y = 8(-x/3 + 5/3) + 9

y = -8x/3 + 40/3 + 9

y = -8x/3 + 40/3 + 27/3

y = -8x/3 + 67/3

y = $\frac{-8x}{3} +\frac{67}{3}$

Answer 2

Answer:

y = (-8/3)x + 67/3

Step-by-step explanation:

x = -3t + 5

t = (5 - x)/3

y = 8t + 9

y = 8(5 - x)/3 + 9

y = 40/3 - 8x/3 + 9

y = -8x/3 + 67/3

y = (-8/3)x + 67/3