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
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:
.