The line parallel to 3x+y=-3 and passing through (3,2) is y=-3x+11
Further explanation:
Given equation of line is:
[tex]3x+y=-3\\y=-3x-3[/tex]
The co-efficient of x is the slope of the line
So,
m=-3
The slope of two parallel lines is equal which means that the line parallel to given line will have same slope
The slope-intercept form of equation is:
[tex]y=mx+b\\Putting\ the\ value\ of\ m\\y=-3x+b[/tex]
To find the value of b, we will put the given point in the equation
[tex]2=-3(3)+b\\2=-9+b\\b=2+9\\b=11[/tex]
Putting the value of b and m
[tex]y=-3x+11[/tex]
The line parallel to 3x+y=-3 and passing through (3,2) is y=-3x+11
Keywords: Slope-intercept form, Equation of line
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