write the equation of the line in fully simplified slope - intercept form.answer attempt 1 out of 2answer:

Answer:

$y = -x + 4$

Explanation:

Step1: Find the slope ($m$)

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points on the line, say $(0,4)$ and $(4,0)$. Then $m=\frac{0 - 4}{4 - 0}=\frac{-4}{4}=-1$.

Step2: Find the $y$-intercept ($b$)

The $y$-intercept is the value of $y$ when $x = 0$. From the point $(0,4)$, we get $b = 4$.

Step3: Write the equation in slope - intercept form

The slope - intercept form of a line is $y=mx + b$. Substituting $m=-1$ and $b = 4$, we get $y=-x + 4$.