3. Write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4).
To write the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points (-3, 4) and (1, 4), we have:
m = (4 - 4) / (1 - (-3))
m = 0 / 4
m = 0
Since the y-coordinates of both points are the same, the slope of the line is 0. This means that the line is horizontal.
The y-intercept, b, can be found by substituting the slope (m) and one of the points (x, y) into the slope-intercept form of the line:
y = mx + b
We can choose either of the given points to find the y-intercept. Let's use (-3, 4):
4 = 0*(-3) + b
4 = 0 + b
4 = b
The y-intercept is 4.
Therefore, the equation of the line in slope-intercept form is:
y = 0x + 4
y = 4