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)
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the slope of the line, we can use the formula: slope = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points.
Using the points (-3, 2) and (8, 2), we can plug the values into the formula:
slope = (2 - 2)/(8 - (-3))
= 0/11
= 0
Since the slope is 0, the equation of the line will be y = b, where b is the y-intercept.
To find the y-intercept, we can choose one of the given points and plug it into the equation. Let's use the point (-3, 2):
y = b
2 = b
Therefore, the equation of the line in slope-intercept form is:
y = 2