Question

write the point - slope form of the line satisfying the given conditions. then use the point - slope form of the equation to write the slope - intercept form of the equation.
passing through (-2, 0) and (0, 2)
type the point - slope form of the equation of the line.
(simplify your answer. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Using points $(-2,0)$ and $(0,2)$:
$m=\frac{2-0}{0-(-2)}=\frac{2}{2}=1$

Step2: Write point-slope form

Point-slope form is $y-y_1=m(x-x_1)$. Using point $(0,2)$:
$y-2=1(x-0)$
Or using point $(-2,0)$:
$y-0=1(x-(-2))$ which simplifies to $y=1(x+2)$

Answer:

$y - 2 = 1(x - 0)$ (or equivalent form $y = x + 2$ in simplified point-slope, or $y - 0 = 1(x + 2)$)