Question

Find an equation of the line having the given slope and containing the given point.
m = -7​, ​(5​,8​)

Answer 1

The equation of the line with slope m and containing the point (x₁, y₁) is given by:

y - y₁ = m(x - x₁)

Substituting the slope m = -7 and the point (x₁, y₁) = (5, 8):

y - 8 = -7(x - 5)

Distributing -7 on the right side:

y - 8 = -7x + 35

Adding 8 to both sides:

y = -7x + 43

Therefore, the equation of the line with a slope of -7 and passes through the point (5, 8) is y = -7x + 43.