SOLUTION: what equation has a slope of 2 and a y-intercept of -5

First let's draw it, starting with plotting the y-intercept
of b = 2



Now let's express the slope m = 2 as the fraction 

The numerator is the change in y, or +2.
The denominator is the change in x, or +1

From the y-intercept, we draw a line 2 units long UPWARD,
since +2 is positive.

   graph(400,375,-10,10,-10,10) )}}}



Now from the end of that UPWARD line, we draw a line
+1 units RIGHTWARD, since +1 is positive.



Now we draw a line through the y-intercept and the
end of the rightward line:



The equation of the line which has slope m and y-intercept b

is

y = mx + b

So:

The equation of the line which has slope 2 and y-intercept -5

is

y = (2)x + (-5)

or

y = 2x - 5.

Edwin