Problem

Type the point-slope form of the equation of the line.
y=10(x+12)
(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.)

Answer

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Answer

The slope-intercept form of the equation of the line is y=10x+5.

Steps

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 y=10x+5.

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