Problem

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

Solution

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 \(\boxed{y = -\frac{4}{3}x + 1}\).

From Solvely APP
Source: https://solvelyapp.com/problems/45840/

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