1 Answer

Rmalmoe · Answer 1 · 2023-01-15T17:23:29+0000

Slope Intercept Form From a Graph

Slope intercept form:
y=mx+b

We can identify two points on the given graph and solve for the slope and the y-intercept.

Two clear points on the graph are (6,0) and (0,6).

First, we can solve for the slope by using the slope equation:

m=(y_2-y_1)/(x_2-x_1) where two points are
(x_1,y_1) and
(x_2,y_2)

⇒ Plug in the points (6,0) and (0,6):

$m=(0-6)/(6-0)\\\\m=(-6)/(6)\\\\m=-1$

Therefore. the slope of the line is -1. Plug this into
y=mx+b :

y=-x+b

Now, we can find the y-intercept. It is the value of y when the line crosses the y-axis.

In this case, we can see on the graph that this is 6.

y=-x+6

y=-x+6