how do i fine the slope?

Question

Write an equation in standard form of the line that has the given characteristics

Passes through (-1,-5) and (3,7)

Answer 1

formula of slope for a line passing through (x₁, y₁) and (x₂, y₂) is (y₂-y₁)/(x₂-x₁) hence for the given line the slope, m is = (7-(-5))/(3-(-1))= (7+5)/(3+1)=12/4=3

with standard equation of a line with known slope m, y=mx, the equation of line will be y=3x.