How do I get the x and y intercepts to graph this equation?

Y=-1/2x-3

x intercept is (-6,0) and y intercept is (0,-3)

Step-by-step explanation: the y intercept is when x=0. the x intercept is when y=0.

to solve this for the y intercept, we set x=0 in the equation y=-1/2x-3. so it would be y=-1/2(0)-3 therefore y= 0-3 and y=-3. the y intercept is (0,-3)

to solve for the x intercept, we set y=0. we plug it into the equation y=-1/2x-3 so 0=-1/2x - 3. this means we can change the sign of -1/2x from negative to positive and move it to the other side. so 1/2x=-3 to solve for x, we divide both sides by 1/2 so x=-6. so the x intercept is (-6,0)