Write an equation in point-slope form for the line through the given point with the given slope.
(10, –9); m = –2
y = -2 x + b
-9 = -2(10) + b
20 - 9 = b
b = 11
y = -2 x + 11
To write an equation in point-slope form, we need to use the given point and the given slope.
The point-slope form of a linear equation is:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of the given point, and m represents the slope.
Given point: (10, -9)
Given slope: -2
Substituting the values into the point-slope form equation, we get:
y - (-9) = -2(x - 10)
Simplifying the equation:
y + 9 = -2(x - 10)
This is the equation in point-slope form for the line passing through the point (10, -9) with a slope of -2.
(10, -9), (x, y), m = -2.
m = (y+9)/(x-10)
y+9 = m(x-10)
y+9 = -2(x-10).