To find the equation of the line passing through two points, we can use the slope-intercept form,
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, let's find the slope (m) using the two given points.
m = (y2 - y1) / (x2 - x1)
Using the points (1, 4) and (6, 4):
m = (4 - 4) / (6 - 1)
m = 0 / 5
m = 0
Now that we have the slope (m = 0), we can substitute it into the slope-intercept form to find the y-intercept (b).
Using one of the given points, let's use (1, 4):
4 = 0*1 + b
4 = b
Since b = 4, the equation of the line passing through the points (1, 4) and (6, 4) is:
y = 0x + 4
Simplifying:
y = 4
Write the equation, in slope-intercept form if possible, of the line passing through the two points.
(1,4) and (6,4)
1 answer