Write an equation in form slope intercept for passing through(-6,3) and parallel to the line whose equation is 4x-6y-10=0.
When two lines are parallel to each other their gradients or slopes are equal.
Further equation of a line can be written as `y = mx+c` .
Our line is parallel to 4x-6y-10 = 0
`6y = 4x-10`
`y = (2/3)x-5/3`
So if our line is y = mx +c then m = (2/3).
`y = (2/3)x+c`
But it is given that this line passes through (-6,3).
`3 = (2/3)xx(-6)+c`
`c = 7`
So the line described for our requirement is y = (2/3)x+7