Question

Which equation represents the linear relationship shown on the graph below?

Answer 1

To find the linear relationship we need

• two points on the line: (0,3), (2,4)
• and the slope = $\frac{y2-y1}{x2-x1} =\frac{4-3}{2-0} =\frac{1}{2}$

Now lets put any one point on the line such as (0,3) and the slope into the point-slope form:

      $y - 3 = (\frac{1}{2} )(x-0)\\y = \frac{1}{2}x + 3$

Hope that helps!