Question

write an equation of the line in slope - intercept form.
(-3, 4)
(0, 0)
y = □

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(-3,4)$. Then $m=\frac{4 - 0}{-3-0}=-\frac{4}{3}$.

Step2: Determine the y - intercept

The line passes through the origin $(0,0)$, so the y - intercept $b = 0$.

Step3: Write the equation

The slope - intercept form is $y=mx + b$. Substituting $m =-\frac{4}{3}$ and $b = 0$ gives $y=-\frac{4}{3}x+0$, which simplifies to $y =-\frac{4}{3}x$.

Answer:

$y=-\frac{4}{3}x$