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a line has a slope of 7 and passes through the point (2,8) write its equation in slope- intercept form. write your answer using

Question

A line has a slope of 7 and passes through the point (2,8) Write its equation in slope- intercept form. Write your answer using integers, proper fractions and improper fractions in simplest form. square

Solution

Verificación de expertos
4 (230 Votos)
Luís Mestre · Tutor por 5 anos

Resposta

To find the equation of the line in slope-intercept form, we need to use the slope-intercept formula: , where is the slope and is the y-intercept.Given that the slope of the line is 7, we can substitute this value into the formula: .We are also given that the line passes through the point . We can use this information to find the value of .Substituting the coordinates of the point into the equation, we have: .Simplifying the equation, we get: .Subtracting 14 from both sides, we have: .Now that we have the value of , we can write the equation of the line in slope-intercept form: .