Question

a line with a slope of 1 passes through the point (-7,-5). what is its equation in slope- intercept form? (y=mx+b)

Answer 1

y = x + 2

Explanation:

Equation of line with a given slope of a and containing a given point (x₀, y₀):

y - y₀ = a(x - x₀)

a = 1, x₀ = -7, y₀ = -5

Therefore:

y - (-5) = 1(x - (-7))

y + 5 = x + 7

y = x + 7 - 5

y = x + 2