Problem

Find the slope-intercept form of the line with the given slope and $y$-intercept. \[ \text { Slope }=-\frac{1}{2} ; y \text {-intercept }=\frac{1}{4} \] What is the equation of the line?

Solution

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

Step 2 :In this case, we are given that \(m = -\frac{1}{2}\) and \(b = \frac{1}{4}\).

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

Step 4 :Substituting the values we get \(y = -0.5x + 0.25\).

Step 5 :Final Answer: The equation of the line is \(\boxed{y = -0.5x + 0.25}\).

From Solvely APP
Source: https://solvelyapp.com/problems/23085/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download