How do you find the y-intercept of the equation y = 4x + 6?

To find the y-intercept of the equation ( y = 4x + 6 ), you need to determine the value of ( y ) when ( x ) is equal to 0. The y-intercept represents the point where the line crosses the y-axis, which occurs at ( x = 0 ).

Substituting ( x = 0 ) into the equation gives:

[

y = 4(0) + 6

]

[

y = 0 + 6

]

[

y = 6

]

Therefore, the y-intercept is 6. This means that on a graph of the equation, the line will cross the y-axis at the point (0, 6).

Understanding the y-intercept is crucial in graphing linear equations, as it provides a starting point on the y-axis. In this case, 6 is the correct value for the y-intercept.