SOLUTION: Hi. I've solved for t but still can't figure out how to solve for the questions. Thank you for your help. Here is the problem: What is the slope of the line x=-3t+10 and y=4t

Question 706313: Hi. I've solved for t but still can't figure out how to solve for the questions. Thank you for your help.
Here is the problem:
What is the slope of the line x=-3t+10 and y=4t+2.
(a) m=
(b) Where does the line cross the x-axis? (______,0)
(c) Where does the line cross the y-axis? (0,______)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Here is the problem:
Comment: Didn't notice the problem was parametric.
------
What is the slope of the line x=-3t+10 and y=4t+2.
3t = -x+10
t = (-x+10)/3
-----
4t = y-2
t = (y-2)/4
----
Equate the "t" values:
(-x+10)/3 = (y-2)/4
Cross-multiply::::
3(y-2) = 4(-x+10)
3y-6 = -4x + 40
3y = -4x + 46
y = (-4/3)x + (46/3)
---------------------------
--------------------------
(a) m= -4/3
--------------------
(b) Where does the line cross the x-axis? (______,0)
y = (-4/3)x + (46/3)
(-4x+46)/3 = 0
-4x = -46
x = 46/4
-------------------
(c) Where does the line cross the y-axis? (0,______)
y = (-4/3)x + (46/3)
y = (46/3)
==============================
Cheers,
Stan H.
==============

RELATED QUESTIONS
F(t)=50+6.50*t Is the function but how do I figure out the domain and range for this... (answered by user_dude2008,malaydassharma)

Good morning. Please help me solve this question. Approximately .25 of all glass bottles (answered by Cromlix)

my question is this: v=(50t)/(t+5), solve of t. i can not seem to figure it out, my (answered by josmiceli)

Here is an example of a Trig function we are working on that I HAVE been able to solve, I (answered by Alan3354)

I have an quadratic equation that has to do with graphing and its due tomorrow night... (answered by nerdybill)

Hi There! I am studying rate questions for the GMAT, and feel pretty comfortable on the... (answered by AnlytcPhil)

Please can you help me with this equation, I have tried but can't figure it out. The... (answered by fners)

Hi, There's a parametric equations problem I'm confused about. The question is:... (answered by ikleyn)

Hi! I've been trying this problem for some time and I can't seem to figure it out. A... (answered by ikleyn,MathTherapy)