Question

What is the slope intercept equation of this line?101(0.4)-10(2-2) 16-10A. y = 4x-3B. y=-3x + 4O c. y = 3x + 4O D. --****

Answer 1

Given:

Graph is given.

Two given points are:

$(0,4)\text{ and (}2,-2)$

To find: Slope intercept equation

Formula :

$\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}$

Explanation:

The equation of the line is

$\begin{gathered} \frac{y-4}{-2-4}=\frac{x-0}{2-0} \\ \frac{y-4}{-6}=\frac{x}{2} \\ \frac{y-4}{-3}=x \\ y-4=-3x \\ y=-3x+4 \end{gathered}$

Option B is the final answer.