Two points are plotted on the grid. ![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-29%20at%204.58.16%20PM_20230529145833474621.png) Which equation in slope-intercept form best represents the line that passes through these two points?

The equation of the line passes through $$(-2,6)$$ and $$(1,-4)$$. The equation of the line is $$ \frac{y-6}{6-(-4)}=\frac{x-(-2)}{-2-1} $$ $$ \frac{y-6}{10}=\frac{x+2}{-3} $$ $$ y-6=-\frac{10}{3}(x+2) $$ $$ y-6=-\frac{10 x}{3}-\frac{20}{3} $$ $$ y=-\frac{10 x}{3}-\frac{20}{3}+6 $$ $$ y=-\frac{10 x}{3}-\frac{20-18}{3} $$ $$ y=-\frac{10 x}{3}-\frac{2}{3}$$ The correct option Is $$y=-\frac{10}{3} x-\frac{2}{3}$$.

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MCQ

Two points are plotted on the grid.

Which equation in slope-intercept form best represents the line that passes through these two points?

Select all that apply :

$y=-\frac{10}{3} x-\frac{2}{3}$

$y=-\frac{2}{3} x-\frac{11}{3}$

$y=-\frac{11}{3} x-\frac{2}{3}$

$y=-\frac{2}{3} x-\frac{10}{3}$

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