If we are to write this equation in slope-intercept form, it will be in y = mx + b, where m is the slope of the line and b is the y intercept. We need then to find the slope of the line using 2 points on the line and filling in the slope formula to find the slope. One of the points we can use is (0, 3) which is also the y intercept. The y-intercept is found where x = 0. Where x = 0, y = 3. So b = 3. Now for the slope we will use (0,3) and (4,4): [tex]m= \frac{4-3}{4-0} = \frac{1}{4} [/tex]. Using that m value and that b value we have the equation [tex]y= \frac{1}{4}x+3 [/tex]. There you go!
