Which point is located on the line represented by the equation y + 4 = –5(x – 3)?
(1 point)
(–4, –5)
(–4, –5)
(–5, –4)
(–5, –4)
(3, –4)
(3, –4)
(–3, 4)
To find a point on the line represented by the equation, we need to solve the equation for one variable and substitute a value for the other variable.
Given the equation y + 4 = –5(x – 3), we can start by isolating y. Subtract 4 from both sides to get y = -5(x - 3) - 4.
Now, let's choose a value for x to find the corresponding value of y. Let's choose x = 3.
Substituting x = 3 into the equation y = -5(x - 3) - 4, we get y = -5(3 - 3) - 4. Simplifying this equation gives y = -4.
Therefore, the point (3, -4) is located on the line represented by the equation y + 4 = –5(x – 3).