Question

How do you write an equation of a line given point (-3,0) and (1,-6)?

Answer 1

The equation of the line is `y=-3/2x-9/2`

Explanation:

The slope of the line passing through the given points is `m=(y_2-y_1)/(x_2-x_1)=(-6-0)/(1-(-3))=-6/4=-3/2` The equation of the line passing through point `(-3,0)` is `y-y_1=m(x-x_1) or y-0=-3/2(x+3)or y=-3/2x-9/2` graph{(-3/2)*x-9/2 [-10, 10, -5, 5]}[Ans]