Question

how do I change parametric equations to slope-intercept form? specific question below.

Answer 1

x = -4t +3
y = 5t -3

Answer 2

Maybe this example will help?
Easy example
X=t-10
Y=t+2
Work
X+10=t
Y-2=t
X+10=Y-2
Answer: X+12=Y

Answer 3

in short, you use the "substitution" method for the parameter

Answer 4

1: X=5t-7 PAREMETRIC EQUATION
Y=10t-15
Step 2: X+7=5t
Y+15=10t
STEP 2 and 3 (ISOLATING T)
Step 3: (X+7)/5=t
(Y+15)/10=t
Step 4: (X+7)/5=(Y+15)/10 (SETTING EQUATIONS EQUAL TO EACH OTHER
Step 5: ((X+7)/5)*10=Y +15 SOLVING FOR Y
(10X+70)/5=Y+15
(2X+14)-15=Y
2X+1=Y MX+B=Y

Answer 5

This should help better.

Answer 6

you just get them all set equal to t and then set those together?

Answer 7

Step 1 Parametric equation, 2- isolate the t, 3 same steps, 4 set the equations equal to each other, 5 solve for y

Answer 8

thats a lot easier than I thought, thank you both!

Answer 9

Sure thing!

Answer 10

\(\begin{array}{llll}
x = -4t +3\implies x-3=-4t\implies \cfrac{x-3}{-4}={\color{brown}{ t}}\\
y = 5{\color{brown}{ t}} -3\implies y=5\left({\color{brown}{ \cfrac{x-3}{-4} }} \right)-3
\end{array}\)

Answer 11

thank you!

Answer 12

yw