Respuesta :
Given:
Line L4 passes through the point (3, 4)
Parallel to y-3x + 4
To find the equation of line L4;
First, let's find its slope.
The line parallel to L4 is y - 3x + 4 = 0
Write the above equation in the form y=mx + b.
y = 3x - 4
Compare the two equations.
slope(m) = 3
Slope of parallel lines are equal. Hence, the slope of L4 is also 3.
Next, is to find the intercept (b).
Substitute x=3 , y = 4 and m= 3 into y=mx+ b and solve for b.
That is;
4 = 3(3) + b
4 = 9 + b
4 - 9 = b
b = -5
We can now go ahead and form the equation of L4 by substituting the values of the slope and intercepts into y=mx+ b.
That is;
The equation of L4 is y = 3x - 5
