Answer:
y=-x +7 is the slope-intercept form and the graph is shown in the attachment.
Step-by-step explanation:
The given equation is
[tex]x + y = 7[/tex]
We solve for y to get:
[tex]y = - x + 7[/tex]
This is now of the form, y=mx+c
This is called the slope-intercept form.
Since the slope is negative, the graph slopes backwards. Also the y-intercept is 7, so the graph will intersect the y-axis at 7