Answer:
See Below
Explanation:
To write the equation of the line through the points (5,0) and (-1,0) in slope-intercept form (y = mx + b), we first need to find the slope (m) of the line.
The slope of a line passing through two points (x1,y1) and (x2,y2) is given by:
- m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the given points, we get:
- m = (0 - 0) / (-1 - 5) = 0
Since the y-coordinates of both points are 0, the line is a horizontal line and the slope is 0.
To find the y-intercept (b) of the line, we can choose either of the given points and substitute the values of the slope and the coordinates into the slope-intercept form equation:
We'll choose the point (5,0):
Therefore, the y-intercept of the line is 0.
So, the equation of the line in slope-intercept form is:
which simplifies to:
In other words, the equation of the line passing through the points (5,0) and (-1,0) is y = 0, which represents a horizontal line on the x-axis.