Question

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)

Answer 1

To find the point located on the line represented by the equation, we need to substitute values for x and y that satisfy the equation.

Let's solve the equation for y:

y + 4 = -5(x - 3)

y + 4 = -5x + 15

y = -5x + 11

Now, let's test the given points by substituting their values into the equation:

(-4, -5):
-5(-4) + 11 = 20 + 11 = 31
This point does not satisfy the equation.

(-5, -4):
-5(-5) + 11 = 25 + 11 = 36
This point does not satisfy the equation.

(3, -4):
-5(3) + 11 = -15 + 11 = -4
This point satisfies the equation.

(-3, 4):
-5(-3) + 11 = 15 + 11 = 26
This point does not satisfy the equation.

Therefore, the point (3, -4) is located on the line represented by the equation.