Write an equation in slope-intercept form for the line with slope $-\frac{4}{3}$ and $y$-intercept 1 .

Step 1 ：The slope-intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Step 2 ：In this case, we are given that the slope \(m\) is \(-\frac{4}{3}\) and the y-intercept \(b\) is 1.

Step 3 ：We can substitute these values into the equation to get the equation of the line.

Step 4 ：The equation of the line in slope-intercept form is \(y = -\frac{4}{3}x + 1\).

Step 5 ：Final Answer: The equation of the line in slope-intercept form is \(\boxed{y = -\frac{4}{3}x + 1}\).