Find an equation of the line having the given slope and containing the given point. Then graph the line passing through the given point and having the given slope
m = 0, (0, -6)
y = -6
To find the equation of the line, we know that the slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
Since the given slope is m = 0, the equation becomes y = 0x + b.
Since any number times 0 is still 0, the x-term disappears from the equation, leaving us with y = b.
To find the value of b, we can substitute the coordinates (0, -6) into the equation:
-6 = b.
Therefore, the equation of the line is y = -6.
To graph the line passing through the point (0, -6), we can simply plot this point on the y-axis at -6 and draw a horizontal line passing through that point.