<prompt> Find the equation of a line given two points.1,2, 3,5  <response>: The two points given are 1,2 and 3,5.First, we will find the slope m of the line using the formula, m y2 - y1 x2 - x1, where x1,y1 is the first point, and x2,y2 is the second point.Substitute the values of the points into the formula: m 5 - 2 3 - 1 which gives m 32.Next, we will use point-slope form to find the equation of the line. Point-slope form is given by y - y1 mx - x1, where m is the slope, and x1,y1 is one of the two given points. We can use either point, lets choose the first point, 1,2 to substitute into the formula:y - 2 32x - 1. Simplifying gives: y - 2 32x - 32, adding 2 to both sides yields: y 32x - 32 2.Finally, after simplifying the constant terms, we have the equation of the line in slope-intercept form: y 32x 12. The equation of the line that passes through the points 1,2 and 3,5 is y 32x 12. 