The equation given is \(y = 4x - 6\). To graph this equation, you can follow these steps:
1. Choose a range of values for the x-coordinate. For example, you can select x-values from -5 to 5.
2. Substitute the chosen x-values into the equation to find the corresponding y-values. For each x-value, calculate the corresponding y-value using \(y = 4x - 6\).
3. Plot the points (x, y) on a coordinate plane using the calculated values.
4. Draw a straight line that passes through the plotted points. This line represents the graph of the equation \(y = 4x - 6\).
Now let's determine whether the point (-1, 5) is a solution to this inequality. To do that, substitute the x and y values of the point into the equation and see if it satisfies the inequality.
Substituting x = -1 and y = 5 into the equation \(y = 4x - 6\), we get:
\(5 = 4(-1) - 6\)
Simplifying the equation:
\(5 = -4 - 6\)
\(5 = -10\)
Since the equation is not true, (-1, 5) is not a solution to the inequality.