Question

y = 5x + 4. The point ______is on the graph line
(6,2),(-6,-2), (2,6), or (-2,-6)

Answer 1

To determine which point is on the graph of the equation \( y = 5x + 4 \), we can substitute the \( x \) values of each point into the equation and see if the resulting \( y \) value matches the \( y \) value of the point.

1. For the point \( (6, 2) \):
\[
y = 5(6) + 4 = 30 + 4 = 34 \quad (\text{not } 2)
\]

2. For the point \( (-6, -2) \):
\[
y = 5(-6) + 4 = -30 + 4 = -26 \quad (\text{not } -2)
\]

3. For the point \( (2, 6) \):
\[
y = 5(2) + 4 = 10 + 4 = 14 \quad (\text{not } 6)
\]

4. For the point \( (-2, -6) \):
\[
y = 5(-2) + 4 = -10 + 4 = -6 \quad (\text{is } -6)
\]

The point **(-2, -6)** is on the graph line of the equation \( y = 5x + 4 \).