Problem

A line passes through the point $(-10,-7)$ and has a slope of $-\frac{1}{2}$. Write an equation in slope-intercept form for this line.

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 :We know the slope \(m\) is \(-\frac{1}{2}\) and we have a point \((-10,-7)\) that the line passes through.

Step 3 :We can substitute these values into the equation to solve for \(b\).

Step 4 :\(m = -0.5\)

Step 5 :\(b = -12.0\)

Step 6 :Now that we have the y-intercept \(b\), we can write the equation of the line in slope-intercept form.

Step 7 :\(\boxed{y = -\frac{1}{2}x - 12}\) is the final answer.

From Solvely APP
Source: https://solvelyapp.com/problems/20809/

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