Question

PLEASE HELP ASAP!!!!

What is the equation of this graphed line?Enter your answer in slope-intercept form in the box.

Answer 1

y = -(1/3)x-5

Explanation:

To start, use the fact that the slope of two points
`(x_1, y_1)` and
`(x_2, y_2)` is found by
`(y_1-y_2)/(x_1-x_2)`. 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 2

y = -1/3 x -5

This is in slope intercept form

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