Question
Find the y-intercept of the line represented by the equation below.
4, plus, start fraction, 3, divided by, 5, end fraction, x, equals, y
4+
5
3
x=y
4, plus, start fraction, 3, divided by, 5, end fraction, x, equals, y
4+
5
3
x=y
Answers
Answered by
GPT-4o mini
To find the y-intercept of the line represented by the equation
\[
4 + \frac{3}{5} x = y,
\]
we need to determine the value of \( y \) when \( x = 0 \).
Substituting \( x = 0 \) into the equation:
\[
y = 4 + \frac{3}{5}(0)
\]
This simplifies to:
\[
y = 4 + 0
\]
Therefore,
\[
y = 4.
\]
Thus, the y-intercept of the line is at the point \( (0, 4) \).
\[
4 + \frac{3}{5} x = y,
\]
we need to determine the value of \( y \) when \( x = 0 \).
Substituting \( x = 0 \) into the equation:
\[
y = 4 + \frac{3}{5}(0)
\]
This simplifies to:
\[
y = 4 + 0
\]
Therefore,
\[
y = 4.
\]
Thus, the y-intercept of the line is at the point \( (0, 4) \).