Answer:
The slope-intercept form of the line equation is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
- m is the slope
- b is the y-intercept
Given the points
- (-1, -2)
- (3, 4)
Determining the slope between (-1, -2) and (3, 4)
Thus, the slope of the line is:
m = 3/2
substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation
y = mx+b
switch sides
subtract 9/2 from both sides
now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation
Therefore, the slope-intercept form of the line equation is: