Answer:
The top left option, with the equation y = -x + 7 and the line that goes down as it goes right.
Explanation:
The equation for slope-intercept form is y = mx + b.
In order to turn the given equation x + y = 7, we need to isolate the y.
x + y = 7
subtract x from both sides:
x + y - x = 7 - x
y = 7 - x
The equation y = 7 - x can also be written as y = -x + 7.
If you were to graph this equation, the line would intersect the y-axis at point (0, 7). Since the slope of the line is negative, The line would go down as it goes right.
So, the correct choice is the first one, where the equation is y = -x + 7 and the line lowers as it goes right.