write the equation of this line in slope - intercept form. write your answer using integers, proper…

Answer:

$y=-4x + 4$

Explanation:

Step1: Find the y - intercept

The line crosses the y - axis at $(0,4)$, so $b = 4$.

Step2: Find the slope

Pick two points, say $(0,4)$ and $(1,0)$. Use the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here $x_1 = 0,y_1=4,x_2 = 1,y_2 = 0$. Then $m=\frac{0 - 4}{1-0}=\frac{-4}{1}=-4$.

Step3: Write the equation

The slope - intercept form is $y=mx + b$. Substitute $m=-4$ and $b = 4$ to get $y=-4x + 4$.