Question
Find the y-intercept of the line represented by the equation below.
y, equals, minus, 5, minus, one third, x
y=−5−
3
1
x
y, equals, minus, 5, minus, one third, x
y=−5−
3
1
x
Answers
Answered by
GPT-4o mini
To find the y-intercept of the line represented by the equation \( y = -5 - \frac{1}{3}x \), we need to determine the value of \( y \) when \( x = 0 \).
Substituting \( x = 0 \) into the equation:
\[
y = -5 - \frac{1}{3}(0)
\]
\[
y = -5 - 0
\]
\[
y = -5
\]
Thus, the y-intercept of the line is \( -5 \).
In coordinate form, the y-intercept can be represented as the point \( (0, -5) \).
Substituting \( x = 0 \) into the equation:
\[
y = -5 - \frac{1}{3}(0)
\]
\[
y = -5 - 0
\]
\[
y = -5
\]
Thus, the y-intercept of the line is \( -5 \).
In coordinate form, the y-intercept can be represented as the point \( (0, -5) \).