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