t

$\vec{p}$

$\vec{u}$

y=mx+b

$\vec{x}$

$t\cdot\vec{u}$

f(x) = (0.5 * x) + 1.5
A = Point(xAxis)
O: (0 | 0)
E: (1 | 2)
P = Point(f)
p = Vector(O, P)
u = Vector(P, E)
t = 2 (slider from -5 to 5, step 0.1)
X: p + (t * u)
g = Segment(A, X)
m = Slope(f)
C: (0 | 1.5)
D = Intersect(xAxis, yAxis)
b = Segment(D, C)
Text1: "\underbrace{" + (LaTeX[x(A)]) + "}_{\substack{x}} \rightarrow \underbrace{" + (LaTeX[y(X)]) + "}_{\substack{y=mx+b}}"
v = Vector(O, X)
w = Vector(C, X)
Text3 = If(t ≥ 0, LaTeX[t], "(" + (LaTeX[t]) + ")")
textt = If(t ≥ 0, LaTeX[t], "(" + (LaTeX[t]) + ")")
Text2: "\vec{x} = \underbrace{\left(\begin{array}{c} " + (LaTeX[x(p)]) + " \\ " + (LaTeX[y(p)]) + " \end{array}\right)}_{\substack{\vec{p}}}  + \underbrace{" + (LaTeX[textt]) + "}_{\substack{t}} \cdot \underbrace{\left(\begin{array}{c} " + (LaTeX[x(u)]) + " \\ " + (LaTeX[y(u)]) + " \end{array}\right)}_{\substack{\vec{u}}} =\left(\begin{array}{c} " + (LaTeX[x(X)]) + " \\ " + (LaTeX[y(X)]) + " \end{array}\right)"