Question

PLEASE HELP ME!!!!!! You will definitely get a BRAINLIEST if you give me the correct answer.

Answer 1

Answer:  the second option is correct  $(0. -\frac{4}{3} ) (2, 0 )$

Using Slope = rise/run . $y=\frac{2}{3}x\ -\frac{4}{3}$

You can create a graph to see the intercepts (attached) OR

Step-by-step explanation:  

To find the y-intercept, figure half way between (-1, -2) and (1, 2/3)

$\frac{2}{3} -(-2) = 2\frac{2}{3}$  Half of that is $1\frac{1}{3}$  below the origin, y-intercept is $-1 \frac{1}{3}$ or $-\frac{4}{3}$

to create an equation for this:

Take the difference in y-values  $\frac{2}{3} -(-\frac{10}{3} ) = 12/3$  

which simplifies to 4 for the Rise

Take the difference in x-values  $3 -(-3) = 6$

so the Run is 6

The slope is the slope is 4/6 , the same as 2/3.

Use slope intercept form to create the equation:

$y=\frac{2}{3}x\ -\frac{4}{3}$

You can compute the x-intercept by substituting 0 for y

0 = 2x/3 - 4/3 .   4/3 = 2x/3   multiply both sides by 3

4 = 2x   divies both sides by 2  to get 2 = x, the x-intercept