4) A line passes through the points \( (-12,-1) \) and \( (7,-1) \). Write its equation in slope- intercept form.
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To find the equation of the line passing through the points \( (-12, -1) \) and \( (7, -1) \), we first note that both points have the same y-coordinate, which means the slope of the line is \( 0 \). Thus, the line is horizontal. The equation of a horizontal line is of the form \( y = c \), where \( c \) is the y-coordinate of the points. Therefore, the equation in slope-intercept form is \( y = -1 \). Now, how fun is it to visualize that this line runs parallel to the x-axis, never changing its height? As you travel infinitely to the left or right, you stay at the same elevation, like a leisurely stroll on a perfectly flat path.