Problem

Find the equation of the line that passes through the point (3,5) and has a slope of 2.

Solution

Step 1 :The point-slope form of a line is given by \(y - y_1 = m(x - x_1)\), where \(m\) is the slope of the line and \((x_1, y_1)\) is a point on the line.

Step 2 :Given the point (3,5) and the slope 2, we can substitute these values into the point-slope form to get \(y - 5 = 2(x - 3)\).

Step 3 :Distribute the 2 on the right side of the equation to get \(y - 5 = 2x - 6\).

Step 4 :Finally, add 5 to both sides to solve for y, yielding the equation \(y = 2x - 1\).

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

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