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:

$y = -2.96 \times 10^4$

Step-by-step explanation:

Given,

(−200,2.04×10^4)and (100,−9.6×10^3).

slope of the line passing through these points.

$m = \dfrac{y_2-y_1}{x_2-x_1}$

$m = \dfrac{-9.6\times 10^3-2.04\times 10^4}{100+200}$

$m = -100$

Equation of line when point and slope is given,

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

$(x_1, y_2)=(100,-9.6\times 10^3)$

$(y+9.6\times 10^3)=-100(x-100)$

At x = 300

$(y+9.6\times 10^3)=-100(300-100)$

$y = -2.96 \times 10^4$