Which point is located on the line represented by the equation y + 4 = –5(x – 3)?
To determine which point is located on the line represented by the equation, we need to substitute values for x and y into the equation and check if they satisfy the equation.
Let's substitute x = 1 into the equation:
y + 4 = -5(1 - 3)
y + 4 = -5(-2)
y + 4 = 10
y = 10 - 4
y = 6
So, the point (1, 6) is located on the line represented by the equation y + 4 = -5(x - 3).
To find a point on the line represented by the equation y + 4 = -5(x - 3), we need to choose a value for x and find the corresponding value of y.
Let's choose a value for x, say x = 0, and substitute it into the equation:
y + 4 = -5(0 - 3)
Simplifying, we have:
y + 4 = -5(-3)
y + 4 = 15
Now, we can solve for y:
y = 15 - 4
y = 11
Therefore, the point located on the line represented by the equation y + 4 = -5(x - 3) is (0, 11).