Write an equation in slope-intercept form when given two pieces of key information about the line
Goes through the points (-3, 2) and (8, 2)
To write an equation in slope-intercept form (y = mx + b), we need to determine the slope (m) and the y-intercept (b).
First, let's find the slope (m):
The slope (m) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates (-3, 2) and (8, 2), we have:
m = (2 - 2) / (8 - (-3))
= 0 / 11
= 0
Since the slope (m) is zero, the line is horizontal.
Now let's find the y-intercept (b):
Since the line is horizontal and passes through the point (x, y) = (8, 2), the y-intercept (b) is equal to 2.
Therefore, the equation of the line in slope-intercept form is:
y = 0x + 2
y = 2