Any good mathematicians out there that can help me on this two problems? I'll give you brainliest plus the 25 points it comes with

Hello!!

So we have for the first question standard form for slope=8/3; and coordinate point (-2,0)

So y-y1=m(x-x1)

y-0=8/3(x-(-2))
y=8/3x + 16/3

Now multiply through by 3/3 to clear fractions and we get standard form.

3y=8x+16 then rearrange and we get 8x-3y+16=0 is standard form.

Point slope form for (-5,6) and (3,-10)

y-y1=m(x-x1)

-10-6=m(3-(-5)) so -16=m8 so m= -8/16= -1/2

So now picking any coordinate point we get

y-(-10)=-1/2(x-3)

y=-1/2x +3/2 -10 so y= -1/2x +3/2 - 20/2 we finally get

y=-1/2x-17/3 in point slope form.

Hope this helps you!!! Any questions please ask!! Thank you so much!!