Question

What is the slope intercept form of (4,0) and (0,2)

Answer 1

Answer:

$\huge\boxed{y=-\dfrac{1}{2}x+2}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

$m$ - slope

$b$ - y-intercept (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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We have two points (4, 0) and (0, 2) → $b=2$

Calculate the slope:

$m=\dfrac{2-0}{0-4}=\dfrac{2}{-4}=-\dfrac{2:2}{4:2}=-\dfrac{1}{2}$

Finally:

$y=-\dfrac{1}{2}x+2$