Identify the equation of the line graphed (I need help can someone explain)

D.) 5x - 2y = 2

Step-by-step explanation:

1. Find all of the options and convert them to slope-intercept form by isolating y. If you isolate y on all of them, you should get that A is y =-2/5x - 1, B is y = 2/5x - 1, C is y = -5/2x - 1, and D is y = 5/2x - 1.

2. Use logic. This line cannot be negative, because negative lines go up to down, not down to up. That cancels out the possibility of A.) and C.) being answers. Now, we know that the slope has to be more than 1 because it is more compressed than that of a line with a slope of 1. The only slope that is more than 1 is D, so that makes D the answer (If you didn't understand this step, go to step 3).

3. Find the slope (This step does not need to be done if you understood Step 2). Take 2 points to be able to find the slope. Two random points on this line are (2,4) and (0,-1). Next, plug them into the formula to find slope. 4-(-1)/2-0 = 5/2, so the slope is 5/2. The only equation with a slope of 5/2 is D. D is the answer.

D.) 5x - 2y = 2

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: