Question 237274
it's a straight line.


your equation is 9x + 7y = -1000


that would be the standard form for the equation of a straight line.


the standard form for the equation of a straight line is ax + by = c where:

a is the coefficient of the x term
b is the coefficient of the y term
c is the constant


it's a linear equation because none of the terms have a coefficient greater than 1.


the general form of the slope intercept form of this equation is y = mx + b where:


m is the slope and b is the y-intercept.


to convert from standard form to slope-intercept form, solve for y to get:


9x + 7y = -1000 is the original equation.
subtract 9x from both sides to get:
7y = -9x - 1000
divide both sides of the equation by 7 to get:
y = (-9/7)*x - (1000/7)


the slope is (-9/7) which replaces m from the general form.


the y-intercept is - (1000/7) which replaces b from the general form.


to graph this equation, you have to convert it to the slope-intercept form which is the same as solving for y.


the gtraph of this equation looks like:


{{{graph (400,400,-200,200,-200,200,(-9/7)x-(1000/7))}}}


you can see from the graph that when x = 0, y = -1000/7 = -142.


you can also see from the graph that when y = 0, x = -111.


you can't see exactly, but you can see that they're in the vicinity.