Question

Can I get help? the steps too, please. I'd mean a lot to me if someone helped.

Answer 1

Remember that the slope intercept formula is:

y = mx + b

m is the slope ($\frac{rise}{run}$)

b is the y-intercept

In this case the slope is...

$\frac{-1}{3}$

^^^This has a negative slope because the line is decreasing from left to right

The y-intercept is...

(0, -2)

so...

y = $\frac{-1}{3}$x - 2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer 2

Answer:

$\large\boxed{y=-\dfrac{1}{3}x-2}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

===========================================

From the graph we have x-intercept (-6, 0) and y-intercept (0, -2) → b = -2.

Calculate the slope:

$m=\dfrac{-2-0}{0-(-6)}=\dfrac{-2}{6}=-\dfrac{1}{3}$

Put the value of the slope m = -1/3 and the value of the y-intercept b = -2 to the equation of a line:

$y=-\dfrac{1}{3}x-2$