Answer:
y = x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x ← is in slope- intercept form
with slope m = - , c = 0
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y = x + c ← is the partial equation
To find c substitute (3, - 8) into the partial equation
- 8 = 4 + c ⇒ c = - 8 - 4 = - 12
y = x - 12 ← equation of perpendicular line
The following equations is equivalent to the slope formula is A) y₂= m(x₂-x₁) + y₁.
<h3>What is slope?</h3>The angle of inclination of a line with respect to the horizontal is quantified. In analytical geometry, a line, ray, or line segment's slope is the proportion of the vertical to the horizontal distance between any two points ("slope equals rise over run").
<h3>What is equation?</h3>Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. We discover that the variable x has a value of 7 after solving this equation.
Given that,
Take a look at the formula below for the slope between two coordinate locations, m.
m =
Here, slope is
m =
Where m is the slope and y₁ and y₂ and x₁ and x₂ are coordinates of the axis.
The first step is to multiply x₂-x₁ on both sides in order to acquire y₂ on its own.
so you must add y₁ to both sides in order to get y₂ alone.
m(x₂-x₁) +y₁ = y₂.
Therefore, the following equations is equivalent to the slope formula is A) y₂ = m(x₂-x₁) + y₁.
To know more about the slope, visit:
#SPJ9