Respuesta :

Problem 1

Plot 3 or 4 of the given points.  For example, plot (4,16) and one other point given in the table.  Draw a straight line through your points.  Look carefully:  Where does your line cross the y-axis?  If y = 14 (just an example, not the correct value), then the y-intercept is (0,14).

To find the slope of your line, choose any 2 of the given 4 points.  Find the slope of the line segment connecting those 2 points.  For example:
         24 - 16         8
m = ------------- = -------- = 2.  The slope of this line is m=2.
           8 - 4            4

Now you have both the slope (2) and the y-intercept (b).  The equation of this line is thus

y = 2x + b    (you found b earlier).