Question

write an equation of the line, in point slope form, that passes through the two given points. points:(-16,8), (4,-2). thank you

Answer 1

The slope of the line =rise / run

= (8- -2) / (-16-4)

= 10/ -20

= -1/2

the point-slope form is y - y1 = m(x - x1) so plugging in m = -1/2 and the point (4 , -2) we have:-

y + 2 = -1/2(x - 4) (answer)

Answer 2

The point-slope form:

`y-y_1=m(x-x_1)\\\\m=(y_2-y_1)/(x_2-x_1)`

We have the points (-16, 8) and (4, -2). Substitute:

`m=(-2-8)/(4-(-16))=(-10)/(20)=-(1)/(2)\\\\y-(-2)=-(1)/(2)(x-4)\\\\\boxed{y+2=-(1)/(2)(x-4)}`