Question

what is the slope intercept form of the equation 2y+x+8

Answer 1

2y = x + 8

 

The standard form for a linear equation like this is:

y = mx + c              , where 'm' is the slope (or gradient) and 'c' is the y-intercept (i.e. where the where the line goes through the y-axis)

So in this case, for your equation you need to get the y term on it's own to make it into the standard form.

This will happen if you divide both sides of the equation by 2:

2y = x + 8

(2y)/2 = (x + 8)/2

y = x/2 + 8/2

y = (1/2)x + 4      - this is the equation in the standard form.

So now you can see that the slope of the line is 1/2 and the y-intercept of the line is at (0, 4).