SOLUTION: Write the equation of the line that passes through the given point and is parallel to the given line. Write the answer in slope-intercept form P(-6,3), y + 3x = -12 Can anyo

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Question 57864This question is from textbook college algebra
: Write the equation of the line that passes through the given point and is parallel to the given line. Write the answer in slope-intercept form
P(-6,3), y + 3x = -12
Can anyone help me on this one? Thanks!
This question is from textbook college algebra

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the line that passes through the given point and is parallel to the given line. Write the answer in slope-intercept form
P(-6,3), y + 3x = -12
The first thing you need to do is find the slope of the line they gave you. Parallel lines have equal slopes.
Once we know a point and a slope we can writhe the equation of the line using the point-slope fomrula.
:
To find the slope of an equation of a line, put the equation in slope-intercept form: highlight%28y=mx%2Bb%29, where slope=m, and y-intercept=(0,b).
:
y+3x=-12
y+3x-3x=-3x-12
y=highlight%28-3%29x-12 The slope is m=-3
:
The point-slope formula is: highlight%28y-y1=m%28x-x1%29%29
P(-6,3) tells us x1=-6 and y1=3. We just found m=-3. So plug and chug:
y-%283%29=-3%28x-%28-6%29%29
y-3=-3%28x%2B6%29
y-3=-3x-18
y-3%2B3=-3x-18%2B3
highlight%28y=-3x-15%29
Happy Calculating!!!