Question

write the equation of the line in fully simplified slope - intercept form. answer attempt 1 out of 10 answer:

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 y - value when $x = 0$. From the graph, when $x = 0$, $y=4$, so $b = 4$.

Step3: Write the equation

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

Answer:

$y=-x + 4$