Answer:
<h2>2x + 5y = -15</h2>Step-by-step explanation:
The standard form of an equation of a line:
We have the equation in point-slope form:
Convert it to the standard form:
<em>multiply both sides by 5</em>
<em>use the distributive property </em><em>a(b + c) = ab + ac</em>
<em>subtract 35 from both sides</em>
<em>add 2x to both sides</em>
Answer:
y = - 2x - 6
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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 2) and (x₂, y₂ ) = (1, - 8)
m = =
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, - 2), then
- 2 = 4 + c ⇒ c = - 2 - 4 = - 6
y = - 2x - 6 ← equation of line