Write an equation of the line satisfying the given conditions. through (2, -5), parallel to 5x 6y + 7

We have to determine the equation of the line passing through the point (2,-5) and parallel to the line

When two lines are parallel, then the slopes of the two lines are equal.

Equation of line with point and slope 'm' is given by:

Since, we have to determine the equation of a line with point (2,-5).

So, the equation of the line is :

Since, the line is parallel to the line

So,

So, slope of the line  'm' is .

Therefore, the equation of the line is:

Therefore, is the required equation of the line.

step-by-step explanation: