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

Respuesta :

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:

[tex]y=-\frac{2x}{3}+3[/tex]

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:

[tex]y-y_{1}=m(x-x_{1} )[/tex]

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

Step 1

Let

[tex]P1(9,-3)\\slope=-\frac{2}{3}[/tex]

replacing

[tex]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\\[/tex]

Have a good day.

Otras preguntas