Math problem h.s

Question

Which of the following is an equation of the line through (2,3) and (-1,-12)

Answer 1

The first thing to do when given two points is to find the slope, which is defined as the change in y divided by the change in x.

m = dx/dy = (-12-3)/(-1-2) = 5

Now we have a slope and a point, so we can write out equation in point-slope form:

y-y₁ = m(x-x₁)

y-3 = 5(x-2)

Solve for y to generate your equation in slope-intercept form:

y = mx + b

y = 5x - 7

Answer 2

(-12-3)/(-1-2)=(y-3)/(x-2)

5=(y-3)/(x-2)

Other forms of the equation may easily be obtained!