A line passes through the points (2,5) and has a slope of 1/3. What are the other points on the line?

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Answer 1 · 2016-11-13T17:17:42

The equation of the line is #y=1/3x+13/3#. To find other points on the line, simply plug in an x value, and solve for the corresponding y value.

To find other points on the line, we first have to find the equation for the line. We can easily use point-slope form: #y-y_1=m(x-x_1)#

#y-5=1/3(x-2)#

To put it in slope-intercept form, isolate y and simplify:

#y=1/3(x-2)+5#

#y=1/3x-2/3+5#

#y=1/3x+13/3#

graph{1/2x+13/2 [-10, 10, -1.16, 8.84]}