Question

Which equation below best describes the line on the graph below?

Answer 1

Hi! So by looking at your graph, you want to find the slope. First you want to find to points and find the distance between the two. I’ll use the points (-8,4) and (-2,2). Starting at (-8, 4), move down 2 and right 6. This shows that your slope will be -2/6 (further simplified to -1/3)?

Now, looking at each equation given to you in standard form, which will have a slope of -1/3? Your first answer, 2x+6y = 8, has a slope of -1/3, with a y-intercept value of 4/3 (or 1.5). If you look back at your graph again, you can see that the y-intercept is 1.5, so your answer will be A. :)