What is the equation of the line that is parallel to the line 2x+3y=-8 and passes through the point (2,-2)?

Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is

Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)

Generic slope intercept form of a line is given by y = mx + c

where "m" = slope of the line and "c" is the y - intercept

Let’s first find slope intercept form of 2x+3y=-8 to get slope of line

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,

We know that slopes of parallel lines are always equal

So the slope of line passing through (2, -2) is also

Equation of line passing through and having slope of m is given by

Substituting the values in equation of line we get

Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

15: 24

62.5%

step-by-step explanation: