Find the equation of the line that containsthe point (3, 2) and is parallel to the line 3x+y=-3.

The line parallel to 3x+y=-3 and passing through (3,2) is y=-3x+11Further explanation:Given equation of line is:[tex]3x+y=-3\\y=-3x-3[/tex]The co-efficient of x is the slope of the lineSo,m=-3The slope of two parallel lines is equal which means that the line parallel to given line will have same slopeThe 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+11Keywords: Slope-intercept form, Equation of lineLearn more about equation of line at:brainly.com/question/11207748brainly.com/question/11280112#LearnwithBrainly