Question

Write an equation of the line in slope- intercept form

Answer 1

Answer:

$a)\ y=-\frac{1}{3}x$

Step-by-step explanation:

Slope (m) form: $\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-0}{-3-0} \\\\m=\frac{1}{-3} \\\\m=-\frac{1}{3}$

$y=mx+b\\y=-\frac{1}{3}x +b$

(0, 0)

$y=-\frac{1}{3}x +b\\0=-\frac{1}{3}(0) +b\\0=0+b\\0=b$

$y=-\frac{1}{3}x +0\\y=-\frac{1}{3}x$

Check your answer:

$y=-\frac{1}{3}x \\1=-\frac{1}{3}(-3)\\1=-1$

This statement is true

Hope this helps!