Answer: The slope is 3/2 and the y-intercept is -3.
Explanation:
To find the slope of a line given the x-intercept and the y-intercept, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are any two points on the line. In this case, we can use the intercepts as the points, since they are both on the line. The x-intercept is (2, 0) and the y-intercept is (0, -3). Plugging these values into the formula, we get:
slope = (-3 - 0) / (0 - 2) slope = -3 / -2 slope = 3/2
Therefore, the slope of the line is 3/2. Alternatively, we can use one of the online calculators in the search results to find the slope and the equation of the line in slope-intercept form. For example, using Symbolab, we get:
y = (3/2)x - 3
This confirms that the slope is 3/2 and the y-intercept is -3.
Hope this helps.