Answer:
-7
Explanation:
The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.
We know that the slope of the line is m = -3/2, and that the point (-6,2) lies on the line. We can use the point-slope form of a line's equation to find the line's equation, and then convert it to slope-intercept form to find the y-intercept.
The point-slope form of the equation of a line passing through the point (x1,y1) with slope m is given by:
y - y1 = m(x - x1)
Substituting the values we have, we get:
y - 2 = (-3/2)(x + 6)
Simplifying this equation, we get:
y - 2 = (-3/2)x - 9
y = (-3/2)x - 7
Comparing this equation to the slope-intercept form y = mx + b, we can see that the y-intercept is -7.
Therefore, the y-intercept of the line is -7.