write the equation of this line in slope - intercept form. write your answer using integers, proper…
write the equation of this line in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest
Answer
Explanation:
Step1: Identify the y - intercept
The line crosses the y - axis at the point $(0,3)$, so $b = 3$.
Step2: Calculate the slope
The line passes through $(0,3)$ and $(4, - 1)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{-1 - 3}{4-0}=\frac{-4}{4}=-1$.
Step3: Write the equation in slope - intercept form
The slope - intercept form is $y=mx + b$. Substituting $m=-1$ and $b = 3$ gives $y=-x + 3$.
Answer:
$y=-x + 3$