ANSWER and EXPLANATION
We want to identify the slope-intercept form of equation and we want to plot the graph of the line.
The given equation is:
-x + y = 5
The slope-intercept form of a linear equation is:
y = mx + c
where m = slope
c intercept
Therefore, the slope-intercept form of the equation is:
y = x + 5
To plot the graph of the equation, we need two points.
We can find y when x is 0 and we find x when y is 0.
When x = 0:
y = 0 + 5
y = 5
That is (0, 5)
When y = 0:
0 = x + 5
x = -5
That is (-5, 0)
Therefore, we can plot the graph with the two points (-5, 0) and (0, 5)
That is:
That is the graph of the equation.