Final answer:
To write the equation in slope-intercept form for a line parallel to the x-axis and passing through a given point, we can use the fact that the slope is 0. The equation becomes y = 0x + b, where b is the y-intercept. By substituting the given point's coordinates, we can solve for the y-intercept.
Step-by-step explanation:
To write an equation in slope-intercept form for the line that is parallel to the x-axis and passes through the point (4, -1), we can use the fact that the slope of a line parallel to the x-axis is 0. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Since the slope is 0, the equation becomes y = 0x + b. We can substitute the coordinates of the given point (4, -1) to solve for the y-intercept b.
Putting the point (4, -1) into the equation, we have -1 = 0(4) + b. Solving for b, we find that the y-intercept is -1. Therefore, the equation in slope-intercept form is y = -1.
Learn more about writing equations in slope-intercept form