You can put this solution on YOUR website! To find equation of a line parallel to a given line through a point, the first step is to know a condition of parallel lines.
Two lines are parallel when they have the same slope.
The equation of our given line is 4x - 3y = 7
To find the slope, solve for y:
Start by subtracting 4x from both sides of the equation:
-3y = 7 - 4x
Then divide both sides by -3:
y = -
Recall y = mx + b? which means the slope m is the coefficient of x, so the slope of the given line is
Since two lines have the same slope when they are parallel, then our slope is also . Now we will use slope m and the point given (3, 5) to find the equation using the formula y - y1 = m(x - x1)
y - 5 = (x - 3)
Add 5 to both sides of the equation:
y = (x - 3) + 5
Simplify
y = x - 4 + 5
y = x + 1
