Respuesta :

Answer:

y = -(1/3)x-5

Step-by-step explanation:

To start, use the fact that the slope of two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is found by [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]. Now, We plug in the values to get the slope as (-3 - (-7)) / (-6 - 6), or 4 / -12 or -1/3. Slope intercept form is y = mx + b, where m is the slope, so we have y = -(1/3)x + b, and simple calculations reveal b as -5. (b is also the y intercept, or the line's y coordinate when it intersects the y axis)

Answer:

y = -1/3 x -5

This is in slope intercept form

Step-by-step explanation:

We have two points so we can find the slope

m = (y2-y1)/(x2-x1)

    = (-7- -3)/(6--6)

    = (-7+3)/(6+6)

    = -4/12

    = -1/3

We can write an equation using the point slope form

y-y1 = m(x-x1)

y--3 = -1/3(x--6)

y+3 = -1/3(x+6)

Distribute the -1/3

y+3 = -1/3x -2

Subtract 3 from each side

y+3-3 = -1/3x -2-3

y = -1/3 x -5

This is in slope intercept form