Question

a line passes through the point (9,-3) and has a slope of negative 2 over 3. write an equation in slope intercept form for this line

Answer 1

y= -2/3x-3, (Word Form: Y equals negative 2 over 3x minus 3.)

Explanation:

The formula for slope-intercept form is y=mx+b. m=Slope. b=y-intercept. Therefore the equation would be y= -2/3x-3

Answer 2

`y=-(2x)/(3)+3`

Explanation:

Hello

I think I can help you with this

if you a have the slope and a point of the line , it is possible to find the equation using:

`y-y_(1)=m(x-x_(1) )`

where, m is the slope, (x1,y1) are the coordinates of the known point

Step 1

Let

`P1(9,-3)\\slope=-(2)/(3)`

replacing

`y-(-3)=-(2)/(3)(x-9 )\\y+3=-(2x)/(3)+(18)/(3)\\isolating\ y \\y=-(2x)/(3)+6-3\\y=-(2x)/(3)+3\\`

Have a good day.