Question

write the equation of this line in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Find the y - intercept

The line crosses the y - axis at (0,1), so $b = 1$.

Step2: Find the slope

Use two points, say (0,1) and (4,0). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Then $m=\frac{0 - 1}{4-0}=-\frac{1}{4}$.

Step3: Write the equation

The slope - intercept form is $y=mx + b$. Substitute $m =-\frac{1}{4}$ and $b = 1$ into it, we get $y=-\frac{1}{4}x + 1$.

Answer:

$y=-\frac{1}{4}x + 1$