Question

Which point is a solution to y = 4x + 5?
© (-6,4)
0 (0 -2)
(0 (-4,0)
© (0,10)

Answer 1

To determine which point is a solution to the equation \( y = 4x + 5 \), we need to substitute the \( x \) value of each point into the equation and see if we get the corresponding \( y \) value from the point.

1. For the point (-6, 4):
\[
y = 4(-6) + 5 = -24 + 5 = -19 \quad (\text{Not a solution, since } y \neq 4)
\]

2. For the point (0, -2):
\[
y = 4(0) + 5 = 0 + 5 = 5 \quad (\text{Not a solution, since } y \neq -2)
\]

3. For the point (0, -4):
\[
y = 4(0) + 5 = 0 + 5 = 5 \quad (\text{Not a solution, since } y \neq -4)
\]

4. For the point (0, 10):
\[
y = 4(0) + 5 = 0 + 5 = 5 \quad (\text{Not a solution, since } y \neq 10)
\]

After evaluating all the points, none of them are solutions to the equation \( y = 4x + 5 \).