76.0k views
0 votes
Write an equation of the graph (shown below) in slope intercept form.

Write an equation of the graph (shown below) in slope intercept form.-example-1
User Sra
by
3.3k points

1 Answer

2 votes

Answer:

Explanation:

Okay! so first, let's specify the components of a slope intercept form equation.

We got y=mx+b as a general formula, where m is slope and b is the y intercept.

The graph gives us two points on the line at (0, 5) and (-6, 7)

To find slope, we can use this slope equation. I suggest you memorize it-it helps a lot with future problems!


(y_(2)-y_(1))/(x_(2)-x_(1) )

Plugging in the points into the equation, we get 2/-6, or -1/3

we really don't need to do much work anymore, since the choices are given. There is only one choice left with -1/3 as slope m, which is D.

The y intercept can be found at wherever the line intersects the y axis. In this line, it crosses 5, which means b=5.

y=mx+b

y=-1/3x+5

User Arvind
by
3.2k points