<prompt> Determine the equation of the line that passes through the points -3,1 and 2,5.-3,1, 2,5  <response>: First, we can find the slope of the line. The slope, m, is defined as the change in y divided by the change in x:m 5-12--3 45Now we can use the point-slope form of the equation of a line to find the equation of the line that passes through the point -3,1:y - 1 45x - -3Simplifying this equation, we get: y - 1 45x 3, Then distributing the 45 we gety - 1 45 x 125 , adding 1 to both sidesy 45x 125 1 45x 125 55Simplifying, the equation of the line that passes through the points -3,1 and 2,5 is:y 45x 175 