wright an equation in the given from of the line passing through the given points

A . slop-intercept form, passing through (-3,4) and (1,4)

To find the equation of the line passing through the points (-3,4) and (1,4), we can use the slope-intercept form, which is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

First, we need to find the slope (m) of the line. The slope can be determined using the formula:

m = (y2 - y1) / (x2 - x1)

Let's plug in the values for the two points (-3,4) and (1,4):

m = (4 - 4) / (1 - (-3))
= 0 / 4
= 0

Since the slope (m) is 0, the equation of the line will be in the form y = b.

Next, we need to find the y-intercept (b) of the line. We can do this by plugging in the values of one of the points into the equation y = b. Let's use the point (-3,4):

4 = b

Therefore, the equation of the line passing through the points (-3,4) and (1,4) is:

y = 4