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To solve a graph given the equation of a line you should use y=mx+b. Then the value of b would be your answer.
The slope of a parallel line would be for example. y=3x+5 the slope of that equation would be 3
Select any two random points on the graph of the line. Label them as A and B. Find the "rise" from A to B. While going vertically from A to B, if we have to go. Now, use the formula: slope = rise/run. Then you should have your slope.
You find the value of slope and then negative reciprocal to it. Once you do that you should have your perpenducular slope. EX: y=3x+5
it would then b ethe negative recriprocal which is -1/3
Find the slope using the slope formula. Use the slope and one of the points to solve for the y-intercept. You know the value for m and the value for b, you can plug these into the slope-intercept form of a line y=mx+b to get the graph.