Question

write an equation for the line in slope-intercept form.(use integers or fractions for any numbers in the equation.)help me solve thisview an exampleget more helpclear all

Explanation:

Step1: Identify slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Pick two points on line

Use $(0, 2)$ and $(4, 4)$

Step3: Calculate the slope

$m = \frac{4 - 2}{4 - 0} = \frac{2}{4} = \frac{1}{2}$

Step4: Identify y-intercept

The line crosses y-axis at $(0, 2)$, so $b=2$

Step5: Write slope-intercept equation

Slope-intercept form: $y = mx + b$
Substitute $m=\frac{1}{2}$ and $b=2$

Answer:

$y = \frac{1}{2}x + 2$