Here is the graph: Write an equation for the line shown on the right. The equation of the line is y = . (Type an expression using x as the variable. Simplify your answer. Use integers or fractions for any numbers in the expression.) Solution Let the equation of the line in slope intercept form be y= mx + c where m is the slope of the line and c is the y intercept. Since the line cuts the y axis at (0,2), hence the y intercept is 2. So, equation of line becomes y = mx + 2 Now, for slope of the line we have 2 points namely (6,9) and (0,2). Slope of the line joinging these two points is (9-2)/(6-0) = 7/6 So, m = 7/.6 is the slope of the line So, equation of the line becomes y = 7x/6 + 2 which is the equation of the line given in the figure. .