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In the equation
y=cx-10,c is a constant. If the graph of this equation in the
xy-plane passes through the point
(1,-3), what is the value of
c ?

In the equation $y=c x-10, c$ is a constant. If the graph of this equation in the $x y$ -plane passes through the point $(1,-3)$ , what is the value of $c$ ?

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Find the magnitude of a vector scalar multiple

Full solution

Q. In the equation

y=c x-10, c

is a constant. If the graph of this equation in the

x y

-plane passes through the point

(1,-3)

, what is the value of

c

?

Substitute coordinates into equation: Step $1$ : Substitute the coordinates of the point $(1, -3)$ into the equation $y = cx - 10$ to form an equation to solve for $c$ . $-3 = c(1) - 10$
Solve for c: Step $2$ : Solve for c. $\newline$ $-3 = c - 10$ $\newline$ $c = -3 + 10$ $\newline$ $c = 7$

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