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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:
, where slope=m, and y-intercept=(0,b).
The slope is m=-3
The point-slope formula is:
P(-6,3) tells us x1=-6 and y1=3. We just found m=-3. So plug and chug: