Question

y = 6x + 4
x = -1
click to select points on the graph.

Explanation:

Step1: Substitute \( x = -1 \) into \( y = 6x + 4 \)

We know that to find the \( y \)-value when \( x = -1 \) for the line \( y = 6x + 4 \), we substitute \( x=-1 \) into the equation. So we have \( y=6\times(-1)+4 \).

Step2: Calculate the value of \( y \)

First, calculate \( 6\times(-1)= - 6 \), then add 4: \( y=-6 + 4=-2 \). So the point of intersection (or the point on both lines) is \( (-1,-2) \). Also, for the line \( x = - 1 \), it's a vertical line passing through \( x=-1 \), so any point on it has \( x=-1 \), and we found the \( y \)-value from the other equation. Now we can plot the point \( (-1,-2) \) on the graph (it's on the vertical line \( x = - 1 \) and on the line \( y=6x + 4 \)).

Answer:

The point is \((-1, -2)\) (and we can identify it on the graph: moving to \( x=-1 \) (left of the y - axis, 1 unit) and \( y = - 2 \) (below the x - axis, 2 units)).