Hello there! I can help you! So, we are looking for the x and y-intercepts. Let's start off with x. The x-intercept is where the line intersects the x-axis, when y is 0. We will replace y as 0. So the equation becomes 0 = -½x - 3. What we do first is add 3 to each side. -3 + 3 cancels out. 0 + 3 is 3. That leaves 3 = -1/2x. Now, multiply each side by 2 to isolate the x. -1/2 * -2/1 cancels out. 3 * -2 is -6. There. x = -6
Now, we will plug in x as 0 to find the y-intercept. The equation becomes y = -½(0) - 3. We know that anything time 0 is 0. We will combine like terms by subtract 3 from 0 to get -3. There. y = -3. Here are your answers for each.
x-intercept: (-6, 0)
y-intercept: (0, -3)