Answer:
y= -x+6
Step-by-step explanation:
The equation format for slope-intercept form is y=mx+c, where m is the slope of the line and c is the y-intercept.
To find the slope, we need to pick two definite points and find the slope from that. The formula to find the slope is 'rise/run'. Rise is the difference between the y-values of the two points, and the run is the difference between the x-values of the two points.
Let's use the points (0,6) and (1,5).
The rise is -1 (5-6=-1) and the run is also 1 (1-0=1). This means that the slope is -1 (-1/1=-1). The slope is negative because the line is 'going downwards'.
So our equation so far is:
y=-x+c
The y-intercept is where the line crosses the y-axis and the x-value is 0. We can see from the graph that the line crosses the y-axis at the point (0,6), therefore the y-intercept is 6.
So our final equation for the line is y= -x+6.
Hope this helped!
