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

Answer:

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

Step-by-step 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

Answer:

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

Step-by-step 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

$P1(9,-3)\\slope=-\frac{2}{3}$

replacing

$y-(-3)=-\frac{2}{3}(x-9 )\\y+3=-\frac{2x}{3}+\frac{18}{3}\\isolating\ y \\y=-\frac{2x}{3}+6-3\\y=-\frac{2x}{3}+3$

Have a good day.