Problem

Graph the line with slope 13 passing through the point (2,1).

Answer

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Answer

y=13x13 is the final answer. The line can be graphed using this equation.

Steps

Step 1 :We are given the slope of the line as 13 and the line passes through the point (2,1).

Step 2 :The equation of a line in slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

Step 3 :We can substitute the given values into the equation to find the y-intercept b.

Step 4 :Substituting m=13 and (x,y)=(2,1) into the equation, we get 1=132+b.

Step 5 :Solving for b, we get b=13.

Step 6 :Now that we have the y-intercept, we can write down the equation of the line.

Step 7 :The equation of the line is y=13x13.

Step 8 :y=13x13 is the final answer. The line can be graphed using this equation.

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