SOLUTION: The straight line y=mx+c passes through the points (0, k) and (h,2k) Express m and c in terms of h and k What I have tried A. B. .........................

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Question 1203163: The straight line y=mx+c passes through the points (0, k) and (h,2k)
Express m and c in terms of h and k
What I have tried
A. B.
.........................
(0,k) (h, 2k)
(X1,Y1). (X2, Y2)
M= (Y2-Y1)/(X2-X1)
M= k/h
Y-Y1=m(X-X1)
====
Y=kx/h +K
C=K

Found 3 solutions by Alan3354, josgarithmetic, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The straight line y=mx+c passes through the points (0, k) and (h,2k)
Express m and c in terms of h and k
What I have tried
A. B.
.........................
(0,k) (h, 2k)
(X1,Y1). (X2, Y2)
M= (Y2-Y1)/(X2-X1)
M= k/h
Y-Y1=m(X-X1)
====
Y=kx/h +K
C=K
===============================
Slope m = (2k-k)/(h-0) = k/h
---------------
(0,k) is the y-intercept, so c = k

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The two points (0,k) and (h, 2k);

Directly to formula of slope,
m=%282k-k%29%2F%28h-0%29

m=%282k-k%29%2Fh
highlight%28m=k%2Fh%29

Also using slope intercept form, y=mx%2Bc and now having an expression found for slope m,
picking your first given point (0,k),
y=k=%28k%2Fh%29%2A0%2Bc, which you could have jumpted through much more quickly;
k=0%2Bc
highlight%28c=k%29


Understand, first given point (0,k) indicates that vertical axis intercept is k.
You would not really need to SOLVE for c.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the straight line y=mx%2Bc+passes through the points (0, k) and (h,2k)



m=%28y2-y1%29%2F%28x2-x1%29
given : (x1,y1)=(0,k) and (x2,y2)=(h,2k)
m=%282k-k%29%2F%28h-0%29
m=k%2Fh

(0,k) is the y-intercept, so c+=+k
substitute c in+y=%28k%2Fh%29x%2Bc+
and your equation is:
y=%28k%2Fh%29x%2Bk+