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A line passes through (-3, -1) and is parallel to the graph of y= 2x +3. What equation represents the
line in slope-intercept form?


PLEASE HELPPP

Respuesta :

mahi27

Answer:

the line passing through point (−3,−1) and is parallel to line m having equation y=2x+3 .

Answer:

y = 2x + 5

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 = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, so

y = 2x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = 2x + 5 ← equation of parallel line

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