Question

How do you write the equation of a line in point slope form given the line has a slope of –6 and a y- intercept of 0.5?

Answer 1

A y-intercept implies that the coordinates of that intercept is `(0,0.5)`

We are also given the slope, `m`, `-6`.

Point slope `-> (y-y_1)=m(x-x_1)` where the point is `(x_1,y_1)`

`(y-0.5)=-6(x-0) ->` Point Slope

`(y-0.5)=-6(x)`

`y=-6x+0.5 ->` Slope Intercept