The correct answer is:
y = -12x - 42
A)
Multiple Choice
Which equation is equivalent to y – 6 = –12(x + 4)?
(1 point)
y = –6x – 48
y = 6x – 48
y = –12x – 42
y = –12x – 54
3 answers
A)
Which point is located on the line represented by the equation y + 4 = –5(x – 3)?
(1 point)
(–4, –5)
(–5, –4)
(3, –4)
(–3, 4)
Which point is located on the line represented by the equation y + 4 = –5(x – 3)?
(1 point)
(–4, –5)
(–5, –4)
(3, –4)
(–3, 4)
To find a point on the line represented by the equation, we need to substitute values for x and solve for y.
Let's try the first option, (-4, -5).
By substituting -4 for x and -5 for y in the equation, we get:
-5 + 4 = -5(-4 - 3)
-1 = -5(-7)
-1 = 35
This equation is not true, so (-4, -5) is not a point on the line represented by the equation.
Let's try the second option, (-5, -4).
By substituting -5 for x and -4 for y in the equation, we get:
-4 + 4 = -5(-5 - 3)
0 = -5(-8)
0 = 40
This equation is also not true, so (-5, -4) is not a point on the line represented by the equation.
Let's try the third option, (3, -4).
By substituting 3 for x and -4 for y in the equation, we get:
-4 + 4 = -5(3 - 3)
0 = 0
This equation is true, so (3, -4) is a point on the line represented by the equation.
Therefore, the correct answer is (3, -4).
Let's try the first option, (-4, -5).
By substituting -4 for x and -5 for y in the equation, we get:
-5 + 4 = -5(-4 - 3)
-1 = -5(-7)
-1 = 35
This equation is not true, so (-4, -5) is not a point on the line represented by the equation.
Let's try the second option, (-5, -4).
By substituting -5 for x and -4 for y in the equation, we get:
-4 + 4 = -5(-5 - 3)
0 = -5(-8)
0 = 40
This equation is also not true, so (-5, -4) is not a point on the line represented by the equation.
Let's try the third option, (3, -4).
By substituting 3 for x and -4 for y in the equation, we get:
-4 + 4 = -5(3 - 3)
0 = 0
This equation is true, so (3, -4) is a point on the line represented by the equation.
Therefore, the correct answer is (3, -4).