Answer:
see attached
Explanation:
You want the graph of the equations ...
Intercepts
We find it convenient to put each equation in standard form when we want to find both intercepts.
ax +by = c
has x-intercept c/a and y-intercept c/b.
y = -x +5
Written in standard form the equation is ...
x + y = 5
Then the intercepts are ...
x-intercept = 5/1 = 5, point (5, 0)
y-intercept = 5/1 = 5, point (0, 5)
3x -2y = 6
The intercepts for this line are ...
x-intercept = 6/3 = 2, point (2, 0)
y-intercept = 6/-2 = -3, point (0, -3)
The graphs of these lines are shown in the attachment.
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Additional comment
The first equation is written in slope-intercept form, which tells us the y-intercept is 5. That is the constant in the equation.
Of course, the x-intercept is the point where y=0, and the y-intercept is the point where x=0.
The point where the two lines intersect is (3.2, 1.8).
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