Question

Find the equation of the line containing (4.-3) that is parallel to the line 6x-4y=1

Answer 1

parallel line means same slope
in order to find the slope of : 6x-4y=1
we will change it to slope,y intercept form :

4y = 6x - 1
y = 1.5x -0.25
so the slope is 1.5

now we will use line equation :
y= y1 + m(x-x1)
and plug the slope and the point :

y = -3 +1.5(x-4)
y = -3 + 1.5x - 6
y = 1.5x - 9