Answer:
<em>4(y+2) = 3(x+4) and 4y - 3x = 4</em>
Step-by-step explanation:
The equation of the line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the equation 3x - 4y = 7
Rewrite in slope intercept form
-4y = -3x+7
y = 3/4 x - 7/4
Slope = 3/4
Slope of the required line will also be 3/4 since they are parallel lines
Substitute the slope and the point into the equation above;
y - y0 = m(x-x0)
y +2 = 3/4 (x+4)
4(y+2) = 3(x+4)
4y + 8 = 3x+12
4y - 3x = 12-8
4y - 3x = 4
<em>Hence the required equations are 4(y+2) = 3(x+4) and 4y - 3x = 4</em>
