Question: Graph the line going through the point \((-3, 4)\) with 0 slope.

Graph the line going through the point \((-3, 4)\) with 0 slope.

Solution

To graph a line with a slope of 0 that goes through the point \((-3, 4)\), we need to create a horizontal line. A line with a slope of 0 is horizontal, meaning its equation will be of the form \(y = c\), where \(c\) is a constant. Since the line passes through the point \((-3, 4)\), the value of \(c\) is 4. Thus, the equation of the line is: \[ y = 4 \] This line will be parallel to the x-axis and pass through all points where \(y\) is 4.