#1**+4 **

The line appears to cross the y-axis at the point (0, -1) , so the y-intercept is -1 .

The points (1, 0) and (0, -1) appear to be on the line. Using these two points we can find the slope.

slope = \(\frac{\text{rise}}{\text{run}}\ =\ \frac{y_2-y_1}{x_2-x_1}\ =\ \frac{-1-0}{0-1}\ =\ \frac{-1}{-1}\ =\ 1\)

Now we know the y-intercept is -1 and the slope is 1. So the equation of this line in slope-intercept form is....

y = 1x - 1

y = x - 1

Also....

We can see that the slope is 1 by counting the units on the graph. To get from the point (0, -1) to the point (1, 0)

we have to go up 1 unit and to the right 1 unit, so the slope = 1/1 = 1

hectictar Jun 3, 2019