What is the slope intercept equation of a line that has a slope of - 2 and a y-intercept of (0, 3)

y = - 2 x + 3

Step-by-step explanation:

If the slope must be "-2", then the slope intercept form of the line should look like;

y = m x + b

with the slope "m" = - 2

That is:

y = - 2 x + b

Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":

3 = - 2 (0) + b

3 = b

Then the equation becomes:

y = - 2 x + 3