Answer:
y = 3/2x - 1/2
Explanation:
General equation of the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
- (x, y) is any point on the line,
- m is the slope,
- and b is the y-intercept.
Finding b (the y-intercept):
Since we're a point through which the line passes (-1, -2) and its slope (3/2), we can find b (the y-intercept) by plugging in (-1, -2) for (x, y) and 3/2 for m in the general slope-intercept form:
-2 = 3/2(-1) + b
(-2 = -3/2 + b) + 3/2
-1/2 = b
Thus, the y-intercept of the line is -1/2.
Compiling the equation of the line in slope-intercept line:
Therefore, y = 3/2x - 1/2 is the equation of the line in slope-intercept form that passes through (-1, -2) and has a slope of 3/2.