Write the equation of the line in fully simplified slope-intercept form.

y = 6x - 5

Step-by-step explanation:

Two points on the line are (0, -5) (this is the y-intercept) and (2, 7).

Starting at (0, -5), we move to the right to (2, 7).  In doing this we see that x increases by 2 (this is the 'run') and y increases by 12 (this is the 'rise').

The slope of this line is thus m = rise/run = 12/2, or m = 6.

As we have already found, the y-intecept is (0, -5).

The slope-intercept form is y = mx + b.  With m = 6 and b = -5, we have the equation

y = 6x - 5.  This is the "simplified slope-intercept form."

y=6x-5

Step-by-step explanation:

first, find the slope using the formula rise/run

count the squares on the y axis from point to point

and you get 6

count the squares on x axis and you get 1

so the slope is 6/1 or 6

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

to find the y intercept look at the graph to see where the line touches the y axis, and you will see it is at -5

therefore y=6x-5