A line includes the points (2,5) and (3,7) What is its equation in point-slope form? Use one of the specified points in your equation.Write your answer using integers proper fractions, and improper fractions. Simplify all fractions.

To find the equation of a line in point-slope form, we can use the formula:<br /><br />y - y1 = m(x - x1)<br /><br />where (x1, y1) is a point on the line and m is the slope of the line.<br /><br />First, let's find the slope of the line using the given points (2,5) and (3,7).<br /><br />The formula for the slope is:<br /><br />m = (y2 - y1) / (x2 - x1)<br /><br />Substituting the given points into the formula, we get:<br /><br />m = (7 - 5) / (3 - 2)<br />m = 2 / 1<br />m = 2<br /><br />Now that we have the slope, we can choose one of the given points to substitute into the point-slope formula. Let's choose the point (2,5).<br /><br />Substituting the slope and the point into the formula, we get:<br /><br />y - 5 = 2(x - 2)<br /><br />Therefore, the equation of the line in point-slope form is:<br /><br />y - 5 = 2(x - 2)