Question

write an equation for the line in slope - intercept form. (use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Identify the y - intercept

The line crosses the y - axis at the point $(0,3)$, so $b = 3$.

Step2: Calculate the slope

Pick two points on the line, say $(0,3)$ and $(1,5)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{5 - 3}{1 - 0}=2$.

Step3: Write the equation

The slope - intercept form of a line is $y=mx + b$. Substituting $m = 2$ and $b = 3$, we get $y=2x+3$.

Answer:

$y = 2x+3$