Question 229569
Determine the x- and y-intercepts of the given equation. Show your work. Then plot the intercepts, and graph the line; 


{{{x + y = -7}}}


Step 1.  Intercepts means that the intersect the x or y axis.  This means that one of the coordinates is zero.  So for x=0, then the point (0,b) has b a the y-intercepts. and for y=0, then the point (a,0) has a as the x-intercept.


Step 2.  Then for x=0 in equation {{{x + y = -7}}} we have


{{{0 + y = -7}}}


{{{y=-7}}}


So we have (0,-7) as one point with b-7 as the y-intercept.


Step 3.  Then for y=0 in equation {{{x + y = -7}}} we have


{{{x+0 = -7}}}


{{{x=-7}}} or {{{a=-7}}} 


So we have (-7, 0) as one point with a=-7 as the x-intercept.


Step 4.  ANSWER:   So we have (0,-7) as one point with b=-7 as the y-intercept and we have (-7,0) as one point with a=-7 as the x-intercept.


We can use these two points (0,-7) and (-7,0) to plot the graph.


{{{graph(400,400, -10,10, -10, 10, -x-7)}}}


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J