find the equation of the line. use exact numbers. for a negative y - intercept, type a negative sign…
find the equation of the line. use exact numbers. for a negative y - intercept, type a negative sign. $y=square x+square$
Answer
Answer:
$y=\frac{1}{2}x + 4$
Explanation:
Step1: Find two points on the line
The line passes through $(- 8,0)$ and $(0,4)$.
Step2: Calculate the slope $m$
$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{4 - 0}{0-(-8)}=\frac{4}{8}=\frac{1}{2}$
Step3: Identify the y - intercept $b$
The line intersects the y - axis at $(0,4)$, so $b = 4$.
Step4: Write the equation of the line
Using the slope - intercept form $y=mx + b$, we get $y=\frac{1}{2}x + 4$.