Question
A line includes t points (7,1) and (1,8) What is its equation in point-slope form? Use one of the recified points in your equation.Write your answer using integers proper fractions, and il proper fractions Simplify all fractions. square
Solution
4.2
(294 Votos)
Leandro
Elite · Tutor por 8 anos
Resposta
To find the equation of the 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 (7,1) and (1,8).The formula for the slope is:m = (y2 - y1) / (x2 - x1)Substituting the coordinates of the given points, we have:m = (8 - 1) / (1 - 7)m = 7 / -6m = -7/6Now 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 (7,1).Substituting the values into the formula, we get:y - 1 = (-7/6)(x - 7)Therefore, the equation of the line in point-slope form is:y - 1 = (-7/6)(x - 7)