Respuesta :

Answer:

Slope : -1

Y-intercept : (0,6)

Step-by-step explanation:

Answer:

Slope: -1

y-intercept: 6

Step-by-step explanation:

Lets figure out the slope with the formula, [tex]\frac{y2 - y1}{x2-x1}[/tex]. Take 2 coordinates and substitute them in. Lets take (-3,9) and (-1,7). Here are the steps:

[tex]\frac{7-9}{-1-(-3)}[/tex]

[tex]\frac{-2}{-1+3}[/tex]

[tex]\frac{-2}{2}[/tex]

[tex]-1[/tex]

Now we know that the slope is -1, so m = -1.

Lets figure out the y-intercept. We have to have an equation with the slope in it. Since we don't know the y-intercept yet, we will use the equation y = -x + b. Lets take the coordinate (5,1). Substitute the coordinates in. Here are the steps:

1 = -5 + b

b = 6

Now we know that the y-intercept is 6, so b = 6. I hope this helped!