Question

find an equation of the line having the given slope and containing the given point.

\\(m = -7\\), \\((2,4)\\)

the equation of the line is \\(y = \square\\).
(simplify your answer. type your answer in slope-intercept form. use integers or fractions for any numbers in the expression.)

Explanation:

Apply point-slope formula

$$ y - y_1 = m(x - x_1) $$

$$ y - 4 = -7(x - 2) $$

Distribute and simplify

$$ y - 4 = -7x + 14 $$

Solve for y

$$ y = -7x + 18 $$

Answer:

The equation of the line is \(y =\) <blank>\(-7x + 18\)</blank>.