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What is the
y-intercept of the graph of
y=3x+7 ?

What is the $y$ -intercept of the graph of $y=3 x+7$ ?

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Full solution

Q. What is the

y

-intercept of the graph of

y=3 x+7

?

Definition of y-intercept: The y-intercept of a graph is the point where the line crosses the y-axis. This occurs when the value of $x$ is $0$ .
Substituting $x = 0$ : To find the y-intercept, substitute $x = 0$ into the equation $y = 3x + 7$ . $\newline$ $y = 3(0) + 7$
Calculating $y$ when $x = 0$ : Calculate the value of $y$ when $x = 0$ .
$y = 0 + 7$
$y = 7$
Final y-intercept point: The y-intercept of the graph is the point $(0, 7)$ .

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