Question

Write the​ equation, in​ slope-intercept form if​ possible, of the line passing through the two points.
​(1​,4​) and ​(6​,4​)

Answer 1

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