Question

What is the slope intercept form of the equation of the line shown below

Answer 1

`y=(4)/(3)x-4`

Explanation:

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The slope-intercept form formula is:
`y=mx+b`

The
`m` stands for the slope and the
`b` stands for the y-intercept.

By looking at the graph, I can figure out that the y-intercept is -4 because y-intercept is where the lines cross the y-axis and in this graph, the line crosses the y-axis at (0,-4).

The slope is
`(4)/(3)` because to get to the ordered pair (3,0), from (0,-4), you would have to go up 4 and over 3 to the right so it's
`(4)/(3)`

So now, if we insert the values in the formula, it would be
`y=(4)/(3)x-4`

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Hope this is helpful.

Answer 2

y = 4/3x -4

Explanation:

First find the slope

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

= ( 0 - -4)/( 3 - 0)

= (0+4)/( 3-0)

= 4/3

The y intercept is -4

The slope intercept form of the equation is

y = mx+b where m is the slope and b is the y intercept

y = 4/3x -4