Which slope represents the greatest rate of change?
1 answer:
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Answer:
y = - x -
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 5x + 9y + 18 = 0 into slope- intercept form
Subtract 5x + 18 from both sides
9y = - 5x - 18 ( divide all terms by 9 )
y = - x - 2 ← in slope- intercept form
with m = -
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation
To find c substitute (- 5, - 7) into the partial equation
- 7 = + c ⇒ c = - 7 -
= -
y = - x -
← equation of line