Write an equation of the line that passes through (3, 7) and is parallel to the line shown. (1, 4) (- 2, - 2)

y=2x+1.

Step-by-step explanation:

You first need to find the slope of the line already graphed. -2 to 1 would be three units to the right, and -2 to 4 would be six units up. You would use the equation (y2-y1)/(x2-x1), where x1 and y1 would be the x and y values of the first coordinate of the graphed line, and x2 and y2 would be the second coordinate. This would be 6/3, which can be simplified to 2/1, which can be simplified to 2, which would mean the slope of the given line would be 2, as well as the parallel line. Now, you could use a pretty complicated equation to find the y-intercept of the line you need to graph, but I would recommend using the slope to find it. Since the given point is (3, 7), you would need to go to the left, meaning you would reverse the slope until you reach the y-axis, so you would use -2 as the slope. 3*-2=-6, and 7-6=1, so the y-intercept would be 1. The answer would be y=2x+1. Hope this helps.