Due next period

write the slope-intercept equation of a line through (2,-1) that is parallel to y = -x + 6

y = - x + 1

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 )

y = - x + 6 ← is in slope- intercept form

with m = - 1

Parallel lines have equal slopes, thus

y = - x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - x + 1 ← equation of line

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step-by-step explanation: