Question

write the equation of this line in slope - intercept form.

Explanation:

Step1: Find two points on the line

The line passes through (0, 0.5) and (1, 0).

Step2: Calculate the slope $m$

Using the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, we have $m=\frac{0 - 0.5}{1-0}=-0.5$.

Step3: Identify the y - intercept $b$

The line intersects the y - axis at (0, 0.5), so $b = 0.5$.

Step4: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. Substituting $m=-0.5$ and $b = 0.5$, we get $y=-0.5x+0.5$.

Answer:

$y=-0.5x + 0.5$