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

Nov 13, 2016

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

#### Explanation:

To find other points on the line, we first have to find the equation for the line. We can easily use point-slope form: $y - {y}_{1} = m \left(x - {x}_{1}\right)$

$y - 5 = \frac{1}{3} \left(x - 2\right)$

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

$y = \frac{1}{3} \left(x - 2\right) + 5$

$y = \frac{1}{3} x - \frac{2}{3} + 5$

$y = \frac{1}{3} x + \frac{13}{3}$

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