Answer in standard form: 2x+y = 3
Answer in slope intercept form: y = -2x+3
Both equations describe the same line. Select one of those formats to write to your teacher.
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Reason:
The equation 2x+y = 9 solves to y = -2x+9; it is of the form y = mx+b
- m = -2 = slope
- b = 9 = y intercept
The parallel line will also have a slope of -2. Parallel lines have equal slopes, but different y intercepts.
The slope-intercept answer is of the form y = -2x+b
Plug in (x,y) = (-1,5) and solve for b.
y = -2x+b
5 = -2*(-1)+b
5 = 2+b
3 = b
b = 3
We go from y = -2x+b to y = -2x+3 which is in slope intercept form.
Adding 2x to both sides gets us 2x+y = 3 which is in standard form.