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

To find the equation of the line in slope-intercept form, we need to use the slope-intercept formula: $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.<br /><br />Given that the slope of the line is 7, we can substitute this value into the formula: $y = 7x + b$.<br /><br />We are also given that the line passes through the point $(2,8)$. We can use this information to find the value of $b$.<br /><br />Substituting the coordinates of the point into the equation, we have: $8 = 7(2) + b$.<br /><br />Simplifying the equation, we get: $8 = 14 + b$.<br /><br />Subtracting 14 from both sides, we have: $-6 = b$.<br /><br />Now that we have the value of $b$, we can write the equation of the line in slope-intercept form: $y = 7x - 6$.