Answer:
y = - x - 7
Step-by-step explanation:
Parallel lines have equal slopes.
Calculate the slope m of the given line using the slope formula
m =
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line
m = = -
, thus
y = - x + c ← is the partial equation
To find c substitute P(- 3, - 3) into the partial equation
- 3 = 4 + c ⇒ c = - 3 - 4 = - 7
y = - x - 7 ← equation of parallel line
Answer: option d.
Step-by-step explanation:
If <em>y </em>varies directly as <em>x</em> and <em>z</em>, the form of the equation is:
Where<em> k</em> is the constant of variation.
If y=4 when x=6 and z=1 then substitute these values into the expression and solve for <em>k:</em>
<em> </em>Substitute the value of <em>k</em> into the expression. Then, the equation is:
To find the value of <em>y </em>when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:
<em> </em>