How do you find the slope from this equation y=1x + 4?

There are two techniques you can use:

1. First determine the value for y given two different values for x. It doesn't matter what values for x you pick. For example if x = 1 then y = 1(1)+4 = 5, and if x = 2 then y = 1(2)+4 = 6. The slope of the line is the defined as the ratio of the "rise" (meaning change in y) over the "run" (change in x) for the two points:


Slope = \frac {change\ in\ y}{change \ in \ x} = \frac {6-5}{2-1} = \frac 1 1 = 1.


So the slope of this line is 1.

2. The second method is to simply memorize that for a line of the form y = mx+b the slope of the line is equal to the coefficient 'm'. So for the equation y = 1x+4 the 'm' value is 1, and that's the slope.