Question

find the x- and y-intercepts (if they exist), and graph the line.
$y = \frac{5}{6}x + 3$
part 1 of 3
write the intercept as an ordered pair. select
one\ if applica
x-intercept: $\left(-\frac{18}{5}, 0\
ight)$
part: 1 / 3
part 2 of 3
write the intercept as an ordered pair. select
one\ if applica
y-intercept: \square \frac{\square}{\square} (\square,\square) none

Explanation:

Step1: Recall y-intercept definition

The y-intercept is the point where \(x = 0\) in the equation of the line.

Step2: Substitute \(x = 0\) into the equation

Given the equation \(y=\frac{5}{6}x + 3\), substitute \(x = 0\):
\(y=\frac{5}{6}(0)+3\)
\(y = 0 + 3\)
\(y = 3\)
So the y-intercept as an ordered pair is \((0, 3)\).

Answer:

\((0, 3)\)