Question

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line? CLEAR CHECK y = -2x + 6 y = 13x – 6 y = 3x – 2 y = 13x – 2

Answer 1

`y = (1)/(3) x - 2` (But I can't find it in your options)

Explanation:

The coordinates are (0,-2) and (6,0)

Finding the slope:

=> Slope =
`(rise)/(run)`

=> Slope =
`(y2-y1)/(x2-x1)`

=> Slope =
`(0+2)/(6-0)`

=> Slope = 2/6

=> Slope = m = 1/3

Finding the y-intercept:

y-intercept = b = -2

Because this is the point where x = 0 According to coordinate (0, -2)

So, the slope intercept equation becomes:

=>
`y = mx+b`

=>
`y = (1)/(3) x - 2`

Answer 2

y = 1/3 x - 2.

Explanation:

The slope of the line = (y2 - y1)/(x2 - x1)

= ( 0 - (-2)) / (6 - 0)

= 2/6

= 1/3.

Using the point slope form of the line with m = 1/3 and (x1,y1) = (0,-2):

y - y1 = m(x - x1)

y - (-2) = 1/3(x - 0)

y + 2 = 1/3 x

y = 1/3 x - 2.