Question 27

Question 27 Line a is shown on the coordinate grid. Construct line b on the coordinate grid so that: Line a and line be represent a system of linear equations with a solution (7, -2) The slope of the line b is greater than -1 and less than 0 The y-intercept of line b is positive There is no real need for calculators on this one. What you are looking to make sure you are hitting all of the “rules” the equation lays out for you. On the next slide, those will be broken down with how to graph it.

Question 27 Here is the graph that is given in the problem. The first thing the students need to do is graph a line that goes through (7, -2). There is a point plotted at that coordinate to show that is where the line needs to go through. The next step says that the students need to graph a line that has a negative slope that is also a fraction. It can be anything, really, as long as it is a fraction between 0 and 1 that is negative and that has a positive y-intercept. For that to happen, the y-intercept (where the line crosses the y-axis, the vertical axis) needs to be under five (between 0 and 5). As long as the y-intercept is under that and crosses through (7, -2) it will work. I have graphed a line with a slope of -1/2 just to graph a line. The students will have different answers so you might want them to share what they got and how it is different for all of them, but still correct if it fits all of the requirements.