What is an equation of the line that passes through the point (-6, -2) and is parallel to the line 3x – 2y = 2?

y=3/2x+7

Step-by-step explanation:

To find the equation of the line that passes through the given point, let's first convert the given equation to slope-intercept form.

3x-2y=2           [subtract both sides by 3x]

-2y=-3x+2        [divide both sides by -2]

y=3/2x-1

Now that we have the equation in slope-intercept form, we know that the slope must stay the same because parallel lines NEVER touch. All we have to do is plug in the given point to find the y-intercept.

-2=3/2(-6)+b    [multiply]

-2=-9+b            [add both sides by 9]

b=7

Now, we know that the parallel equation is y=3/2x+7.

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.