What is an equation of the line that passes through the point (6,7) and is parallel to the line
2x−3y=9?

The equation of line parallel to given line passing through (6,7) is:

Step-by-step explanation:

Given equation of line is:

We have to convert the equation in slope-intercept form. The slope-intercept form is given by:

Adding 3y on both sides and subtracting 9 from both sides

Dividing whole equation by 3

Let m be the slope of given line then

m = 2/3

Let m1 be the slope of line parallel to given line. Slopes of two parallel lines is equal that means:

m = m1 = 2/3

The equation of line will be:

Putting the point (6,7) in equation

Putting the value of b

Hence,

The equation of line parallel to given line passing through (6,7) is:

is means division by fractions

step-by-step explanation:

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1