The equation of the line in slope-intercept form is y = -2/3x - 11
<h3>Equation of a line </h3>The line is the distance between two points. The equation in slope-intercept form is y = mx + b
Given the equation in point-slope form y+7 = -2/3(x+6)
Write in slope intercept form
3(y+7) = -2(x+6)
3y + 21 = -2x - 12
3y = -2x - 33
y = -2/3x - 11
Hence the equation of the line in slope-intercept form is y = -2/3x - 11
Learn more on equation of a line here; brainly.com/question/525947
#SPJ1
Answer:
The radius is r=5 units
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to
where
(h,k) is the center and r is the radius
we have
Convert to standard form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square twice. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
therefore
The center is the point (6,-3) and the radius is r=5 units