Answer:
y + 8 = x + 10
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 6 = -(x + 7) is in this form with slope m = - 1
given the slope of a line m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1
using m = 1 and (a, b) = (- 10, - 8), then
y + 8 = x + 10 ← equation of line k
or y = x + 2 ← in slope- intercept form
Answer: y = 8x + 2
Step-by-step explanation:
perpendicular means the slopes are opposite reciprocals of each other. perpendicular to: y - 6 = -(x + 7) → m = -1 m⊥ = +1
Input the slope (m⊥ = +1) and the point (x₁, y₁) = (-10, -8) into the Point-Slope formula: y - y₁ = m(x - x₁)
y - (-8) = 1(x - (-10))
y + 8 = x + 10 simplified
y = x + 2 subtracted 8 from both sides
