Problem

Type the point-slope form of the equation of the line. \[ y=10\left(x+\frac{1}{2}\right) \] (Use integers or simplified fractions for any numbers in the equation.) Type the slope-intercept form of the equation of the line. (Use integers or simplified fractions for any numbers in the equation.)

Solution

Step 1 :The given equation is in point-slope form, y = m(x - x1) + y1, where m is the slope and (x1, y1) is a point on the line. In this case, m = 10 and x1 = -1/2.

Step 2 :We can find the y-intercept by setting x = 0 in the equation.

Step 3 :Substituting the values, we get m = 10, x1 = -0.5, and b = 5.0.

Step 4 :The slope-intercept form of the equation of the line is \(\boxed{y = 10x + 5}\).

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Source: https://solvelyapp.com/problems/0WlkQlG5RK/

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