Question

What is the slope intercept equation for the following line? 

(see image)

Answer 1

y=-1x+1

Explanation:

To find the slope, we can use rise (vertical) over run (horizontal).

m=rise/run

We can see that from the first point to the second point, x increased by 2 and y decreased by 2.

The rise is -2 and the run is 2.

m=2/-2=-1.

The slope is -1.

Now let's find the y-intercept (the point where x=0, or where the line crosses the y-axis.)

This point is at (0,1), so b=1.

The y-intercept is 1.

This is the format for slope-intercept form: y=mx+b.

The slope-intercept equation is y=-1x+1.

Answer 2

y = x + 1

Explanation:

You can immediately read off the y-intercept from the graph: (0, 1). The slope of this line is negative. Choosing two different points on this line leads to finding the slope of the line: (0, 1) and (2, -1) Going from the first point to the other, we see that x (the run) increases by 2 and y(the rise) decreases by 2. Thus, the slope is m = rise/run = 2/2 = 1.

The slope-intercept equation of this line is therefore y = x + 1.