Question

A line passes through the points (−200,2.04×10^4) and (100,−9.6×10^3). Find the value of y when x=300. Write your answer in scientific notation.

Answer 1

Answer:

Explanation:

Given,

(−200,2.04×10^4)and (100,−9.6×10^3).

slope of the line passing through these points.

Equation of line when point and slope is given,

At x = 300

Explanation:

Answer 2

`y = -2.96 * 10^4`

Explanation:

Given,

(−200,2.04×10^4)and (100,−9.6×10^3).

slope of the line passing through these points.

`m = (y_2-y_1)/(x_2-x_1)`

`m = (-9.6* 10^3-2.04* 10^4)/(100+200)`

`m = -100`

Equation of line when point and slope is given,

`(y-y_1)= m(x-x_1)`

`(x_1, y_2)=(100,-9.6* 10^3)`

`(y+9.6* 10^3)=-100(x-100)`

At x = 300

`(y+9.6* 10^3)=-100(300-100)`

`y = -2.96 * 10^4`