Answer :
The following is an equation fo curve if it passes through the point (-2,3) is y=2 x^2-x-7.
What is Slope?
A graph is a set of vertices—points—and edges—the lines connecting those vertices in discrete mathematics. Graphs come in a variety of forms, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.
Slope of the carne at (x, y) is 4 x-1
Let the curve is: y=2 x^2-x-7
[tex]$\begin{gathered}\text { Slope: } \frac{d y}{d x}=\frac{d}{d x}\left[2 x^2-x-7\right] \\\frac{d y}{d x}=4 x-1\end{gathered}$[/tex]
And passes Iowa's the point (-2,3).
[tex]$\begin{aligned}& y=2 x^2-x-7 \\& 3=2(-2)^2-(-2)-7 \\& 3=8+2-7 \\& 3=10-7 \\& 3=3\end{aligned}$[/tex]
Satisfied.
y=2 x^2-x-7
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