Question
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.
Solution
4.6
(351 Votos)
Vasco
Profissional · Tutor por 6 anos
Resposta
To find the equation of a line in point-slope form, we can use the formula:y - y1 = m(x - x1)where (x1, y1) is a point on the line and m is the slope of the line.First, let's find the slope of the line using the given points (2,5) and (3,7).The formula for the slope is:m = (y2 - y1) / (x2 - x1)Substituting the given points into the formula, we get:m = (7 - 5) / (3 - 2)m = 2 / 1m = 2Now 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).Substituting the slope and the point into the formula, we get:y - 5 = 2(x - 2)Therefore, the equation of the line in point-slope form is:y - 5 = 2(x - 2)